Uncertainty-scaled detection floors versus length gates for road descents from noisy elevation profilesStatisticsOpen3hChromatic number of the circulant graph C(1483; 1, 2, 28)Graph theoryOpen7hChromatic number of the circulant graph C(1481; 1, 12, 27)Graph theoryOpen7hChromatic number of the circulant graph C(1471; 1, 11, 26)Graph theoryOpen7hChromatic number of the circulant graph C(1459; 1, 10, 25)Graph theoryOpen7hChromatic number of the circulant graph C(1453; 1, 9, 24)Graph theoryOpen7hChromatic number of the circulant graph C(1451; 1, 8, 23)Graph theoryOpen7hChromatic number of the circulant graph C(1447; 1, 7, 22)Graph theoryOpen7hChromatic number of the circulant graph C(1439; 1, 6, 21)Graph theoryOpen7hChromatic number of the circulant graph C(1433; 1, 5, 20)Graph theoryOpen7hChromatic number of the circulant graph C(1429; 1, 4, 19)Graph theoryOpen7hChromatic number of the circulant graph C(1427; 1, 3, 18)Graph theoryOpen7hChromatic number of the circulant graph C(1423; 1, 2, 17)Graph theoryOpen7hChromatic number of the circulant graph C(1409; 1, 12, 16)Graph theoryOpen7hChromatic number of the circulant graph C(1399; 1, 11, 15)Graph theoryOpen7hChromatic number of the circulant graph C(1381; 1, 10, 14)Graph theoryOpen7hChromatic number of the circulant graph C(1373; 1, 9, 30)Graph theoryOpen7hChromatic number of the circulant graph C(1367; 1, 8, 29)Graph theoryOpen7hChromatic number of the circulant graph C(1361; 1, 7, 28)Graph theoryOpen7hChromatic number of the circulant graph C(1327; 1, 6, 27)Graph theoryOpen7hChromatic number of the circulant graph C(1321; 1, 5, 26)Graph theoryOpen7hChromatic number of the circulant graph C(1319; 1, 4, 25)Graph theoryOpen7hChromatic number of the circulant graph C(1307; 1, 3, 24)Graph theoryOpen7hChromatic number of the circulant graph C(1303; 1, 2, 23)Graph theoryOpen7hChromatic number of the circulant graph C(1301; 1, 12, 22)Graph theoryOpen7hChromatic number of the circulant graph C(1297; 1, 11, 21)Graph theoryOpen7hChromatic number of the circulant graph C(1291; 1, 10, 20)Graph theoryOpen7hChromatic number of the circulant graph C(1289; 1, 9, 19)Graph theoryOpen7hChromatic number of the circulant graph C(1283; 1, 8, 18)Graph theoryOpen7hChromatic number of the circulant graph C(1279; 1, 7, 17)Graph theoryOpen7hChromatic number of the circulant graph C(1277; 1, 6, 16)Graph theoryOpen7hChromatic number of the circulant graph C(1259; 1, 5, 15)Graph theoryOpen7hChromatic number of the circulant graph C(1249; 1, 4, 14)Graph theoryOpen7hChromatic number of the circulant graph C(1237; 1, 3, 30)Graph theoryOpen7hChromatic number of the circulant graph C(1231; 1, 2, 29)Graph theoryOpen7hChromatic number of the circulant graph C(1229; 1, 12, 28)Graph theoryOpen7hChromatic number of the circulant graph C(1223; 1, 11, 27)Graph theoryOpen7hChromatic number of the circulant graph C(1217; 1, 10, 26)Graph theoryOpen7hChromatic number of the circulant graph C(1213; 1, 9, 25)Graph theoryOpen7hChromatic number of the circulant graph C(1201; 1, 8, 24)Graph theoryOpen7hChromatic number of the circulant graph C(1193; 1, 7, 23)Graph theoryOpen7hChromatic number of the circulant graph C(1187; 1, 6, 22)Graph theoryOpen7hChromatic number of the circulant graph C(1181; 1, 5, 21)Graph theoryOpen7hChromatic number of the circulant graph C(1171; 1, 4, 20)Graph theoryOpen7hChromatic number of the circulant graph C(1163; 1, 3, 19)Graph theoryOpen7hChromatic number of the circulant graph C(1153; 1, 2, 18)Graph theoryOpen7hChromatic number of the circulant graph C(1151; 1, 12, 17)Graph theoryOpen7hChromatic number of the circulant graph C(1129; 1, 11, 16)Graph theoryOpen7hChromatic number of the circulant graph C(1123; 1, 10, 15)Graph theoryOpen7hChromatic number of the circulant graph C(1117; 1, 9, 14)Graph theoryOpen7hChromatic number of the circulant graph C(1109; 1, 8, 30)Graph theoryOpen7hChromatic number of the circulant graph C(1103; 1, 7, 29)Graph theoryOpen7hChromatic number of the circulant graph C(1097; 1, 6, 28)Graph theoryOpen7hChromatic number of the circulant graph C(1093; 1, 5, 27)Graph theoryOpen7hChromatic number of the circulant graph C(1091; 1, 4, 26)Graph theoryOpen7hChromatic number of the circulant graph C(1087; 1, 3, 25)Graph theoryOpen7hChromatic number of the circulant graph C(1069; 1, 2, 24)Graph theoryOpen7hChromatic number of the circulant graph C(1063; 1, 12, 23)Graph theoryOpen7hChromatic number of the circulant graph C(1061; 1, 11, 22)Graph theoryOpen7hChromatic number of the circulant graph C(1051; 1, 10, 21)Graph theoryOpen7hChromatic number of the circulant graph C(1049; 1, 9, 20)Graph theoryOpen7hChromatic number of the circulant graph C(1039; 1, 8, 19)Graph theoryOpen7hChromatic number of the circulant graph C(1033; 1, 7, 18)Graph theoryOpen7hChromatic number of the circulant graph C(1031; 1, 6, 17)Graph theoryOpen7hChromatic number of the circulant graph C(1021; 1, 5, 16)Graph theoryOpen7hChromatic number of the circulant graph C(1019; 1, 4, 15)Graph theoryOpen7hChromatic number of the circulant graph C(1013; 1, 3, 14)Graph theoryOpen7hChromatic number of the circulant graph C(1009; 1, 2, 30)Graph theoryOpen7hChromatic number of the circulant graph C(997; 1, 12, 29)Graph theoryOpen7hChromatic number of the circulant graph C(991; 1, 11, 28)Graph theoryOpen7hChromatic number of the circulant graph C(983; 1, 10, 27)Graph theoryOpen7hChromatic number of the circulant graph C(977; 1, 9, 26)Graph theoryOpen7hChromatic number of the circulant graph C(971; 1, 8, 25)Graph theoryOpen7hChromatic number of the circulant graph C(967; 1, 7, 24)Graph theoryOpen7hChromatic number of the circulant graph C(953; 1, 6, 23)Graph theoryOpen7hChromatic number of the circulant graph C(947; 1, 5, 22)Graph theoryOpen7hChromatic number of the circulant graph C(941; 1, 4, 21)Graph theoryOpen7hChromatic number of the circulant graph C(937; 1, 3, 20)Graph theoryOpen7hChromatic number of the circulant graph C(929; 1, 2, 19)Graph theoryOpen7hChromatic number of the circulant graph C(919; 1, 12, 18)Graph theoryOpen7hChromatic number of the circulant graph C(911; 1, 11, 17)Graph theoryOpen7hChromatic number of the circulant graph C(907; 1, 10, 16)Graph theoryOpen7hChromatic number of the circulant graph C(887; 1, 9, 15)Graph theoryOpen7hChromatic number of the circulant graph C(883; 1, 8, 14)Graph theoryOpen7hChromatic number of the circulant graph C(881; 1, 7, 30)Graph theoryOpen7hChromatic number of the circulant graph C(877; 1, 6, 29)Graph theoryOpen7hChromatic number of the circulant graph C(863; 1, 5, 28)Graph theoryOpen7hChromatic number of the circulant graph C(859; 1, 4, 27)Graph theoryOpen7hChromatic number of the circulant graph C(857; 1, 3, 26)Graph theoryOpen7hChromatic number of the circulant graph C(853; 1, 2, 25)Graph theoryOpen7hChromatic number of the circulant graph C(839; 1, 12, 24)Graph theoryOpen7hChromatic number of the circulant graph C(829; 1, 11, 23)Graph theoryOpen7hChromatic number of the circulant graph C(827; 1, 10, 22)Graph theoryOpen7hChromatic number of the circulant graph C(823; 1, 9, 21)Graph theoryOpen7hChromatic number of the circulant graph C(821; 1, 8, 20)Graph theoryOpen7hChromatic number of the circulant graph C(811; 1, 7, 19)Graph theoryOpen7hChromatic number of the circulant graph C(809; 1, 6, 18)Graph theoryOpen7hChromatic number of the circulant graph C(797; 1, 5, 17)Graph theoryOpen7hChromatic number of the circulant graph C(787; 1, 4, 16)Graph theoryOpen7hChromatic number of the circulant graph C(773; 1, 3, 15)Graph theoryOpen7hChromatic number of the circulant graph C(769; 1, 2, 14)Graph theoryOpen7hClique number of the Paley graph of order 3137Graph theoryOpen7hClique number of the Paley graph of order 3121Graph theoryOpen7hClique number of the Paley graph of order 3109Graph theoryOpen7hClique number of the Paley graph of order 3089Graph theoryOpen7hClique number of the Paley graph of order 3061Graph theoryOpen7hClique number of the Paley graph of order 3041Graph theoryOpen7hClique number of the Paley graph of order 3049Graph theoryOpen7hClique number of the Paley graph of order 3037Graph theoryOpen7hClique number of the Paley graph of order 3001Graph theoryOpen7hClique number of the Paley graph of order 2969Graph theoryOpen7hClique number of the Paley graph of order 2957Graph theoryOpen7hClique number of the Paley graph of order 2917Graph theoryOpen7hClique number of the Paley graph of order 2953Graph theoryOpen7hClique number of the Paley graph of order 2909Graph theoryOpen7hClique number of the Paley graph of order 2897Graph theoryOpen7hClique number of the Paley graph of order 2861Graph theoryOpen7hClique number of the Paley graph of order 2857Graph theoryOpen7hClique number of the Paley graph of order 2837Graph theoryOpen7hClique number of the Paley graph of order 2833Graph theoryOpen7hClique number of the Paley graph of order 2801Graph theoryOpen7hClique number of the Paley graph of order 2797Graph theoryOpen7hClique number of the Paley graph of order 2777Graph theoryOpen7hClique number of the Paley graph of order 2789Graph theoryOpen7hClique number of the Paley graph of order 2753Graph theoryOpen7hClique number of the Paley graph of order 2749Graph theoryOpen7hClique number of the Paley graph of order 2741Graph theoryOpen7hClique number of the Paley graph of order 2729Graph theoryOpen7hClique number of the Paley graph of order 2713Graph theoryOpen7hClique number of the Paley graph of order 2693Graph theoryOpen7hClique number of the Paley graph of order 2689Graph theoryOpen7hClique number of the Paley graph of order 2677Graph theoryOpen7hClique number of the Paley graph of order 2657Graph theoryOpen7hClique number of the Paley graph of order 2633Graph theoryOpen7hClique number of the Paley graph of order 2621Graph theoryOpen7hClique number of the Paley graph of order 2617Graph theoryOpen7hClique number of the Paley graph of order 2609Graph theoryOpen7hClique number of the Paley graph of order 2593Graph theoryOpen7hClique number of the Paley graph of order 2557Graph theoryOpen7hClique number of the Paley graph of order 2549Graph theoryOpen7hClique number of the Paley graph of order 2521Graph theoryOpen7hClique number of the Paley graph of order 2477Graph theoryOpen8hClique number of the Paley graph of order 2473Graph theoryOpen8hClique number of the Paley graph of order 2441Graph theoryOpen8hClique number of the Paley graph of order 2393Graph theoryOpen8hClique number of the Paley graph of order 2417Graph theoryOpen8hClique number of the Paley graph of order 2437Graph theoryOpen8hClique number of the Paley graph of order 2381Graph theoryOpen8hClique number of the Paley graph of order 2389Graph theoryOpen8hClique number of the Paley graph of order 2357Graph theoryOpen8hClique number of the Paley graph of order 2377Graph theoryOpen8hClique number of the Paley graph of order 2341Graph theoryOpen8hClique number of the Paley graph of order 2333Graph theoryOpen8hClique number of the Paley graph of order 2309Graph theoryOpen8hClique number of the Paley graph of order 2297Graph theoryOpen8hClique number of the Paley graph of order 2293Graph theoryOpen8hClique number of the Paley graph of order 2281Graph theoryOpen8hClique number of the Paley graph of order 2273Graph theoryOpen8hClique number of the Paley graph of order 2269Graph theoryOpen8hClique number of the Paley graph of order 2237Graph theoryOpen8hClique number of the Paley graph of order 2221Graph theoryOpen8hClique number of the Paley graph of order 2213Graph theoryOpen8hClique number of the Paley graph of order 2161Graph theoryOpen8hClique number of the Paley graph of order 2153Graph theoryOpen8hClique number of the Paley graph of order 2141Graph theoryOpen8hClique number of the Paley graph of order 2137Graph theoryOpen8hClique number of the Paley graph of order 2129Graph theoryOpen8hClique number of the Paley graph of order 2113Graph theoryOpen8hClique number of the Paley graph of order 2089Graph theoryOpen8hClique number of the Paley graph of order 2081Graph theoryOpen8hClique number of the Paley graph of order 2069Graph theoryOpen8hClique number of the Paley graph of order 2053Graph theoryOpen8hClique number of the Paley graph of order 2029Graph theoryOpen8hClique number of the Paley graph of order 2017Graph theoryOpen8hClique number of the Paley graph of order 1997Graph theoryOpen8hClique number of the Paley graph of order 1993Graph theoryOpen8hClique number of the Paley graph of order 1973Graph theoryOpen8hClique number of the Paley graph of order 1949Graph theoryOpen8hClique number of the Paley graph of order 1933Graph theoryOpen8hClique number of the Paley graph of order 1901Graph theoryOpen8hClique number of the Paley graph of order 1913Graph theoryOpen8hClique number of the Paley graph of order 1889Graph theoryOpen8hClique number of the Paley graph of order 1877Graph theoryOpen8hClique number of the Paley graph of order 1873Graph theoryOpen8hClique number of the Paley graph of order 1861Graph theoryOpen8hClique number of the Paley graph of order 1801Graph theoryOpen8hClique number of the Paley graph of order 1789Graph theoryOpen8hClique number of the Paley graph of order 1777Graph theoryOpen8hClique number of the Paley graph of order 1753Graph theoryOpen8hClique number of the Paley graph of order 1741Graph theoryOpen8hClique number of the Paley graph of order 1733Graph theoryOpen8hClique number of the Paley graph of order 1721Graph theoryOpen8hClique number of the Paley graph of order 1709Graph theoryOpen8hClique number of the Paley graph of order 1697Graph theoryOpen8hClique number of the Paley graph of order 1693Graph theoryOpen8hClique number of the Paley graph of order 1669Graph theoryOpen8hClique number of the Paley graph of order 1657Graph theoryOpen8hClique number of the Paley graph of order 1637Graph theoryOpen8hClique number of the Paley graph of order 1621Graph theoryOpen8hClique number of the Paley graph of order 1613Graph theoryOpen8hClique number of the Paley graph of order 1609Graph theoryOpen8hExact value of A(163, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(162, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(161, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(160, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(159, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(158, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(157, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(156, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(155, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(154, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(153, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(152, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(151, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(150, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(149, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(148, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(147, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(145, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(146, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(144, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(143, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(142, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(141, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(140, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(139, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(138, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(136, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(137, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(135, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(134, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(133, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(132, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(131, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(130, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(129, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(128, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(127, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(126, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(125, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(124, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(123, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(122, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(121, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(120, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(119, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(118, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(117, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(116, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(114, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(115, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(113, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(112, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(111, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(110, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(109, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(108, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(107, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(106, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(105, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(104, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(103, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(102, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(101, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(100, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(99, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(98, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(97, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(96, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(95, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(94, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(93, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(92, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(91, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(90, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(89, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(88, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(87, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(86, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(85, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(84, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(83, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(82, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(81, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(80, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(79, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(78, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(77, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(76, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(75, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(74, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(73, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(72, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(71, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(70, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(69, 6, 4) for binary constant-weight codesCoding theoryOpen8hDomination number of the 45 by 50 toroidal knight graphGraph theoryOpen8hDomination number of the 45 by 49 toroidal knight graphGraph theoryOpen8hDomination number of the 45 by 48 toroidal knight graphGraph theoryOpen8hDomination number of the 45 by 47 toroidal knight graphGraph theoryOpen8hDomination number of the 45 by 46 toroidal knight graphGraph theoryOpen8hDomination number of the 44 by 49 toroidal knight graphGraph theoryOpen8hDomination number of the 44 by 48 toroidal knight graphGraph theoryOpen8hDomination number of the 44 by 47 toroidal knight graphGraph theoryOpen8hDomination number of the 44 by 46 toroidal knight graphGraph theoryOpen8hDomination number of the 44 by 45 toroidal knight graphGraph theoryOpen8hDomination number of the 43 by 48 toroidal knight graphGraph theoryOpen8hDomination number of the 43 by 47 toroidal knight graphGraph theoryOpen8hDomination number of the 43 by 46 toroidal knight graphGraph theoryOpen8hDomination number of the 43 by 45 toroidal knight graphGraph theoryOpen8hDomination number of the 43 by 44 toroidal knight graphGraph theoryOpen8hDomination number of the 42 by 47 toroidal knight graphGraph theoryOpen8hDomination number of the 42 by 46 toroidal knight graphGraph theoryOpen8hDomination number of the 42 by 45 toroidal knight graphGraph theoryOpen8hDomination number of the 42 by 44 toroidal knight graphGraph theoryOpen8hDomination number of the 42 by 43 toroidal knight graphGraph theoryOpen8hDomination number of the 41 by 46 toroidal knight graphGraph theoryOpen8hDomination number of the 41 by 45 toroidal knight graphGraph theoryOpen8hDomination number of the 41 by 44 toroidal knight graphGraph theoryOpen8hDomination number of the 41 by 43 toroidal knight graphGraph theoryOpen8hDomination number of the 41 by 42 toroidal knight graphGraph theoryOpen8hDomination number of the 40 by 45 toroidal knight graphGraph theoryOpen8hDomination number of the 40 by 44 toroidal knight graphGraph theoryOpen8hDomination number of the 40 by 43 toroidal knight graphGraph theoryOpen8hDomination number of the 40 by 42 toroidal knight graphGraph theoryOpen8hDomination number of the 40 by 41 toroidal knight graphGraph theoryOpen8hDomination number of the 39 by 43 toroidal knight graphGraph theoryOpen8hDomination number of the 39 by 44 toroidal knight graphGraph theoryOpen8hDomination number of the 39 by 41 toroidal knight graphGraph theoryOpen8hDomination number of the 39 by 42 toroidal knight graphGraph theoryOpen8hDomination number of the 39 by 40 toroidal knight graphGraph theoryOpen8hDomination number of the 38 by 43 toroidal knight graphGraph theoryOpen8hDomination number of the 38 by 42 toroidal knight graphGraph theoryOpen8hDomination number of the 38 by 41 toroidal knight graphGraph theoryOpen8hDomination number of the 38 by 40 toroidal knight graphGraph theoryOpen8hDomination number of the 38 by 39 toroidal knight graphGraph theoryOpen8hDomination number of the 37 by 42 toroidal knight graphGraph theoryOpen8hDomination number of the 37 by 41 toroidal knight graphGraph theoryOpen8hDomination number of the 37 by 40 toroidal knight graphGraph theoryOpen8hDomination number of the 37 by 39 toroidal knight graphGraph theoryOpen8hDomination number of the 37 by 38 toroidal knight graphGraph theoryOpen8hDomination number of the 36 by 41 toroidal knight graphGraph theoryOpen8hDomination number of the 36 by 40 toroidal knight graphGraph theoryOpen8hDomination number of the 36 by 39 toroidal knight graphGraph theoryOpen8hDomination number of the 36 by 38 toroidal knight graphGraph theoryOpen8hDomination number of the 36 by 37 toroidal knight graphGraph theoryOpen8hDomination number of the 35 by 40 toroidal knight graphGraph theoryOpen8hDomination number of the 35 by 39 toroidal knight graphGraph theoryOpen8hDomination number of the 35 by 38 toroidal knight graphGraph theoryOpen8hDomination number of the 35 by 36 toroidal knight graphGraph theoryOpen8hDomination number of the 35 by 37 toroidal knight graphGraph theoryOpen8hDomination number of the 34 by 39 toroidal knight graphGraph theoryOpen8hDomination number of the 34 by 38 toroidal knight graphGraph theoryOpen8hDomination number of the 34 by 37 toroidal knight graphGraph theoryOpen8hDomination number of the 34 by 36 toroidal knight graphGraph theoryOpen8hDomination number of the 34 by 35 toroidal knight graphGraph theoryOpen8hDomination number of the 33 by 38 toroidal knight graphGraph theoryOpen8hDomination number of the 33 by 37 toroidal knight graphGraph theoryOpen8hDomination number of the 33 by 36 toroidal knight graphGraph theoryOpen8hDomination number of the 33 by 35 toroidal knight graphGraph theoryOpen8hDomination number of the 33 by 34 toroidal knight graphGraph theoryOpen8hDomination number of the 32 by 37 toroidal knight graphGraph theoryOpen8hDomination number of the 32 by 36 toroidal knight graphGraph theoryOpen8hDomination number of the 32 by 35 toroidal knight graphGraph theoryOpen8hDomination number of the 32 by 34 toroidal knight graphGraph theoryOpen8hDomination number of the 32 by 33 toroidal knight graphGraph theoryOpen8hDomination number of the 31 by 36 toroidal knight graphGraph theoryOpen8hDomination number of the 31 by 35 toroidal knight graphGraph theoryOpen8hDomination number of the 31 by 34 toroidal knight graphGraph theoryOpen8hDomination number of the 31 by 33 toroidal knight graphGraph theoryOpen8hDomination number of the 31 by 32 toroidal knight graphGraph theoryOpen8hDomination number of the 30 by 35 toroidal knight graphGraph theoryOpen8hDomination number of the 30 by 34 toroidal knight graphGraph theoryOpen8hDomination number of the 30 by 33 toroidal knight graphGraph theoryOpen8hDomination number of the 30 by 32 toroidal knight graphGraph theoryOpen8hDomination number of the 30 by 31 toroidal knight graphGraph theoryOpen8hDomination number of the 29 by 34 toroidal knight graphGraph theoryOpen8hDomination number of the 29 by 33 toroidal knight graphGraph theoryOpen8hDomination number of the 29 by 32 toroidal knight graphGraph theoryOpen8hDomination number of the 29 by 31 toroidal knight graphGraph theoryOpen8hDomination number of the 29 by 30 toroidal knight graphGraph theoryOpen8hDomination number of the 28 by 33 toroidal knight graphGraph theoryOpen8hDomination number of the 28 by 32 toroidal knight graphGraph theoryOpen8hDomination number of the 28 by 31 toroidal knight graphGraph theoryOpen8hDomination number of the 28 by 30 toroidal knight graphGraph theoryOpen8hDomination number of the 28 by 29 toroidal knight graphGraph theoryOpen8hDomination number of the 27 by 32 toroidal knight graphGraph theoryOpen8hDomination number of the 27 by 31 toroidal knight graphGraph theoryOpen8hDomination number of the 27 by 30 toroidal knight graphGraph theoryOpen8hDomination number of the 27 by 29 toroidal knight graphGraph theoryOpen8hDomination number of the 27 by 28 toroidal knight graphGraph theoryOpen8hDomination number of the 26 by 31 toroidal knight graphGraph theoryOpen8hDomination number of the 26 by 30 toroidal knight graphGraph theoryOpen8hDomination number of the 26 by 29 toroidal knight graphGraph theoryOpen8hDomination number of the 26 by 28 toroidal knight graphGraph theoryOpen8hDomination number of the 26 by 27 toroidal knight graphGraph theoryOpen8hIndependence number of the circulant graph C(1277; 1, 11)Graph theoryOpen8hIndependence number of the circulant graph C(1259; 1, 10)Graph theoryOpen8hIndependence number of the circulant graph C(1249; 1, 9)Graph theoryOpen8hIndependence number of the circulant graph C(1237; 1, 8)Graph theoryOpen8hIndependence number of the circulant graph C(1229; 1, 6)Graph theoryOpen8hIndependence number of the circulant graph C(1231; 1, 7)Graph theoryOpen8hIndependence number of the circulant graph C(1223; 1, 5)Graph theoryOpen8hIndependence number of the circulant graph C(1217; 1, 4)Graph theoryOpen8hIndependence number of the circulant graph C(1213; 1, 3)Graph theoryOpen8hIndependence number of the circulant graph C(1201; 1, 2)Graph theoryOpen8hIndependence number of the circulant graph C(1193; 1, 31)Graph theoryOpen8hIndependence number of the circulant graph C(1187; 1, 30)Graph theoryOpen8hIndependence number of the circulant graph C(1181; 1, 29)Graph theoryOpen8hIndependence number of the circulant graph C(1171; 1, 28)Graph theoryOpen8hIndependence number of the circulant graph C(1163; 1, 27)Graph theoryOpen8hIndependence number of the circulant graph C(1153; 1, 26)Graph theoryOpen8hIndependence number of the circulant graph C(1151; 1, 25)Graph theoryOpen8hIndependence number of the circulant graph C(1129; 1, 24)Graph theoryOpen8hIndependence number of the circulant graph C(1123; 1, 23)Graph theoryOpen8hIndependence number of the circulant graph C(1117; 1, 22)Graph theoryOpen8hIndependence number of the circulant graph C(1109; 1, 21)Graph theoryOpen8hIndependence number of the circulant graph C(1103; 1, 20)Graph theoryOpen8hIndependence number of the circulant graph C(1097; 1, 19)Graph theoryOpen8hIndependence number of the circulant graph C(1093; 1, 18)Graph theoryOpen8hIndependence number of the circulant graph C(1091; 1, 17)Graph theoryOpen8hIndependence number of the circulant graph C(1087; 1, 16)Graph theoryOpen8hIndependence number of the circulant graph C(1069; 1, 15)Graph theoryOpen8hIndependence number of the circulant graph C(1063; 1, 14)Graph theoryOpen8hExact value of A(68, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(67, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(66, 6, 4) for binary constant-weight codesCoding theoryOpen8hIndependence number of the circulant graph C(1061; 1, 13)Graph theoryOpen8hExact value of A(65, 6, 4) for binary constant-weight codesCoding theoryOpen8hExact value of A(64, 6, 4) for binary constant-weight codesCoding theoryOpen8hIndependence number of the circulant graph C(1051; 1, 12)Graph theoryOpen8hIndependence number of the circulant graph C(1049; 1, 11)Graph theoryOpen8hIndependence number of the circulant graph C(1039; 1, 10)Graph theoryOpen8hIndependence number of the circulant graph C(1033; 1, 9)Graph theoryOpen8hIndependence number of the circulant graph C(1031; 1, 8)Graph theoryOpen8hIndependence number of the circulant graph C(1019; 1, 6)Graph theoryOpen8hIndependence number of the circulant graph C(1021; 1, 7)Graph theoryOpen8hIndependence number of the circulant graph C(1013; 1, 5)Graph theoryOpen8hIndependence number of the circulant graph C(1009; 1, 4)Graph theoryOpen8hIndependence number of the circulant graph C(997; 1, 3)Graph theoryOpen8hIndependence number of the circulant graph C(991; 1, 2)Graph theoryOpen8hIndependence number of the circulant graph C(983; 1, 31)Graph theoryOpen8hIndependence number of the circulant graph C(977; 1, 30)Graph theoryOpen8hIndependence number of the circulant graph C(971; 1, 29)Graph theoryOpen8hIndependence number of the circulant graph C(967; 1, 28)Graph theoryOpen8hIndependence number of the circulant graph C(953; 1, 27)Graph theoryOpen8hIndependence number of the circulant graph C(947; 1, 26)Graph theoryOpen8hIndependence number of the circulant graph C(941; 1, 25)Graph theoryOpen8hIndependence number of the circulant graph C(937; 1, 24)Graph theoryOpen8hIndependence number of the circulant graph C(929; 1, 23)Graph theoryOpen8hIndependence number of the circulant graph C(919; 1, 22)Graph theoryOpen8hIndependence number of the circulant graph C(911; 1, 21)Graph theoryOpen8hIndependence number of the circulant graph C(907; 1, 20)Graph theoryOpen8hIndependence number of the circulant graph C(887; 1, 19)Graph theoryOpen8hIndependence number of the circulant graph C(883; 1, 18)Graph theoryOpen8hIndependence number of the circulant graph C(881; 1, 17)Graph theoryOpen8hIndependence number of the circulant graph C(877; 1, 16)Graph theoryOpen8hIndependence number of the circulant graph C(863; 1, 15)Graph theoryOpen8hIndependence number of the circulant graph C(859; 1, 14)Graph theoryOpen8hIndependence number of the circulant graph C(857; 1, 13)Graph theoryOpen8hIndependence number of the circulant graph C(853; 1, 12)Graph theoryOpen8hIndependence number of the circulant graph C(839; 1, 11)Graph theoryOpen8hIndependence number of the circulant graph C(829; 1, 10)Graph theoryOpen9hIndependence number of the circulant graph C(823; 1, 8)Graph theoryOpen9hIndependence number of the circulant graph C(827; 1, 9)Graph theoryOpen9hIndependence number of the circulant graph C(821; 1, 7)Graph theoryOpen9hIndependence number of the circulant graph C(811; 1, 6)Graph theoryOpen9hIndependence number of the circulant graph C(809; 1, 5)Graph theoryOpen9hIndependence number of the circulant graph C(797; 1, 4)Graph theoryOpen9hIndependence number of the circulant graph C(787; 1, 3)Graph theoryOpen9hIndependence number of the circulant graph C(773; 1, 2)Graph theoryOpen9hIndependence number of the circulant graph C(769; 1, 31)Graph theoryOpen9hIndependence number of the circulant graph C(761; 1, 30)Graph theoryOpen9hIndependence number of the circulant graph C(757; 1, 29)Graph theoryOpen9hIndependence number of the circulant graph C(751; 1, 28)Graph theoryOpen9hIndependence number of the circulant graph C(743; 1, 27)Graph theoryOpen9hIndependence number of the circulant graph C(739; 1, 26)Graph theoryOpen9hIndependence number of the circulant graph C(733; 1, 25)Graph theoryOpen9hIndependence number of the circulant graph C(727; 1, 24)Graph theoryOpen9hIndependence number of the circulant graph C(719; 1, 23)Graph theoryOpen9hIndependence number of the circulant graph C(709; 1, 22)Graph theoryOpen9hIndependence number of the circulant graph C(701; 1, 21)Graph theoryOpen9hIndependence number of the circulant graph C(691; 1, 20)Graph theoryOpen9hIndependence number of the circulant graph C(683; 1, 19)Graph theoryOpen9hIndependence number of the circulant graph C(677; 1, 18)Graph theoryOpen9hIndependence number of the circulant graph C(673; 1, 17)Graph theoryOpen9hIndependence number of the circulant graph C(659; 1, 15)Graph theoryOpen9hIndependence number of the circulant graph C(661; 1, 16)Graph theoryOpen9hIndependence number of the circulant graph C(653; 1, 14)Graph theoryOpen9hIndependence number of the circulant graph C(647; 1, 13)Graph theoryOpen9hIndependence number of the circulant graph C(641; 1, 11)Graph theoryOpen9hIndependence number of the circulant graph C(643; 1, 12)Graph theoryOpen9hIndependence number of the circulant graph C(631; 1, 10)Graph theoryOpen9hIndependence number of the circulant graph C(619; 1, 9)Graph theoryOpen9hIndependence number of the circulant graph C(617; 1, 8)Graph theoryOpen9hIndependence number of the circulant graph C(613; 1, 7)Graph theoryOpen9hIndependence number of the circulant graph C(607; 1, 6)Graph theoryOpen9hIndependence number of the circulant graph C(601; 1, 5)Graph theoryOpen9hIndependence number of the circulant graph C(599; 1, 4)Graph theoryOpen9hIndependence number of the circulant graph C(593; 1, 3)Graph theoryOpen9hIndependence number of the circulant graph C(587; 1, 2)Graph theoryOpen9hChromatic number of the circulant graph C(761; 1, 8, 19)Graph theoryOpen10hChromatic number of the circulant graph C(757; 1, 7, 18)Graph theoryOpen10hChromatic number of the circulant graph C(751; 1, 6, 17)Graph theoryOpen10hChromatic number of the circulant graph C(743; 1, 5, 16)Graph theoryOpen10hChromatic number of the circulant graph C(739; 1, 4, 15)Graph theoryOpen10hChromatic number of the circulant graph C(733; 1, 3, 14)Graph theoryOpen10hChromatic number of the circulant graph C(727; 1, 2, 30)Graph theoryOpen10hChromatic number of the circulant graph C(719; 1, 12, 29)Graph theoryOpen10hChromatic number of the circulant graph C(709; 1, 11, 28)Graph theoryOpen10hChromatic number of the circulant graph C(701; 1, 10, 27)Graph theoryOpen10hChromatic number of the circulant graph C(691; 1, 9, 26)Graph theoryOpen10hChromatic number of the circulant graph C(683; 1, 8, 25)Graph theoryOpen10hChromatic number of the circulant graph C(677; 1, 7, 24)Graph theoryOpen10hChromatic number of the circulant graph C(673; 1, 6, 23)Graph theoryOpen10hChromatic number of the circulant graph C(661; 1, 5, 22)Graph theoryOpen10hChromatic number of the circulant graph C(659; 1, 4, 21)Graph theoryOpen10hChromatic number of the circulant graph C(653; 1, 3, 20)Graph theoryOpen10hChromatic number of the circulant graph C(647; 1, 2, 19)Graph theoryOpen10hChromatic number of the circulant graph C(643; 1, 12, 18)Graph theoryOpen10hChromatic number of the circulant graph C(641; 1, 11, 17)Graph theoryOpen10hChromatic number of the circulant graph C(631; 1, 10, 16)Graph theoryOpen10hChromatic number of the circulant graph C(619; 1, 9, 15)Graph theoryOpen10hChromatic number of the circulant graph C(617; 1, 8, 14)Graph theoryOpen10hChromatic number of the circulant graph C(613; 1, 7, 30)Graph theoryOpen10hChromatic number of the circulant graph C(607; 1, 6, 29)Graph theoryOpen10hChromatic number of the circulant graph C(601; 1, 5, 28)Graph theoryOpen10hChromatic number of the circulant graph C(599; 1, 4, 27)Graph theoryOpen10hChromatic number of the circulant graph C(593; 1, 3, 26)Graph theoryOpen10hChromatic number of the circulant graph C(587; 1, 2, 25)Graph theoryOpen10hChromatic number of the circulant graph C(577; 1, 12, 24)Graph theoryOpen10hChromatic number of the circulant graph C(571; 1, 11, 23)Graph theoryOpen10hChromatic number of the circulant graph C(569; 1, 10, 22)Graph theoryOpen10hChromatic number of the circulant graph C(563; 1, 9, 21)Graph theoryOpen10hChromatic number of the circulant graph C(557; 1, 8, 20)Graph theoryOpen10hChromatic number of the circulant graph C(547; 1, 7, 19)Graph theoryOpen10hChromatic number of the circulant graph C(541; 1, 6, 18)Graph theoryOpen10hChromatic number of the circulant graph C(521; 1, 4, 16)Graph theoryOpen10hChromatic number of the circulant graph C(523; 1, 5, 17)Graph theoryOpen10hChromatic number of the circulant graph C(509; 1, 3, 15)Graph theoryOpen10hChromatic number of the circulant graph C(503; 1, 2, 14)Graph theoryOpen10hClique number of the Paley graph of order 1601Graph theoryOpen10hClique number of the Paley graph of order 1597Graph theoryOpen10hClique number of the Paley graph of order 1553Graph theoryOpen10hClique number of the Paley graph of order 1493Graph theoryOpen10hClique number of the Paley graph of order 1549Graph theoryOpen10hClique number of the Paley graph of order 1489Graph theoryOpen10hClique number of the Paley graph of order 1453Graph theoryOpen10hClique number of the Paley graph of order 1481Graph theoryOpen10hClique number of the Paley graph of order 1433Graph theoryOpen10hClique number of the Paley graph of order 1429Graph theoryOpen10hClique number of the Paley graph of order 1409Graph theoryOpen10hClique number of the Paley graph of order 1381Graph theoryOpen10hClique number of the Paley graph of order 1373Graph theoryOpen10hClique number of the Paley graph of order 1361Graph theoryOpen10hClique number of the Paley graph of order 1321Graph theoryOpen10hClique number of the Paley graph of order 1301Graph theoryOpen10hClique number of the Paley graph of order 1297Graph theoryOpen10hClique number of the Paley graph of order 1289Graph theoryOpen10hClique number of the Paley graph of order 1277Graph theoryOpen10hClique number of the Paley graph of order 1249Graph theoryOpen10hClique number of the Paley graph of order 1237Graph theoryOpen10hClique number of the Paley graph of order 1229Graph theoryOpen10hClique number of the Paley graph of order 1217Graph theoryOpen10hClique number of the Paley graph of order 1213Graph theoryOpen10hClique number of the Paley graph of order 1193Graph theoryOpen10hClique number of the Paley graph of order 1201Graph theoryOpen10hClique number of the Paley graph of order 1181Graph theoryOpen10hClique number of the Paley graph of order 1153Graph theoryOpen10hClique number of the Paley graph of order 1129Graph theoryOpen10hClique number of the Paley graph of order 1117Graph theoryOpen10hClique number of the Paley graph of order 1109Graph theoryOpen10hClique number of the Paley graph of order 1097Graph theoryOpen10hClique number of the Paley graph of order 1069Graph theoryOpen10hClique number of the Paley graph of order 1093Graph theoryOpen10hClique number of the Paley graph of order 1061Graph theoryOpen11hClique number of the Paley graph of order 1049Graph theoryOpen11hClique number of the Paley graph of order 1033Graph theoryOpen11hClique number of the Paley graph of order 1021Graph theoryOpen11hClique number of the Paley graph of order 1013Graph theoryOpen11hClique number of the Paley graph of order 1009Graph theoryOpen11hExact value of A(63, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(62, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(61, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(60, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(59, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(58, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(56, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(57, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(55, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(54, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(53, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(52, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(51, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(50, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(49, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(48, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(47, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(46, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(45, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(44, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(42, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(43, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(41, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(40, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(39, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(38, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(37, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(36, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(35, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(34, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(33, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(31, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(32, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(30, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(29, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(27, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(28, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(26, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(25, 6, 4) for binary constant-weight codesCoding theoryOpen11hExact value of A(24, 6, 4) for binary constant-weight codesCoding theoryOpen11hDomination number of the 25 by 30 toroidal knight graphGraph theoryOpen11hDomination number of the 25 by 29 toroidal knight graphGraph theoryOpen11hDomination number of the 25 by 28 toroidal knight graphGraph theoryOpen11hDomination number of the 25 by 27 toroidal knight graphGraph theoryOpen11hDomination number of the 25 by 26 toroidal knight graphGraph theoryOpen11hDomination number of the 24 by 29 toroidal knight graphGraph theoryOpen11hDomination number of the 24 by 28 toroidal knight graphGraph theoryOpen11hDomination number of the 24 by 27 toroidal knight graphGraph theoryOpen11hDomination number of the 24 by 26 toroidal knight graphGraph theoryOpen11hDomination number of the 24 by 25 toroidal knight graphGraph theoryOpen11hDomination number of the 23 by 28 toroidal knight graphGraph theoryOpen11hDomination number of the 23 by 27 toroidal knight graphGraph theoryOpen11hDomination number of the 23 by 26 toroidal knight graphGraph theoryOpen11hDomination number of the 23 by 25 toroidal knight graphGraph theoryOpen11hDomination number of the 23 by 24 toroidal knight graphGraph theoryOpen11hDomination number of the 22 by 27 toroidal knight graphGraph theoryOpen11hDomination number of the 22 by 26 toroidal knight graphGraph theoryOpen11hDomination number of the 22 by 25 toroidal knight graphGraph theoryOpen11hDomination number of the 22 by 24 toroidal knight graphGraph theoryOpen11hDomination number of the 22 by 23 toroidal knight graphGraph theoryOpen11hDomination number of the 21 by 26 toroidal knight graphGraph theoryOpen11hDomination number of the 21 by 25 toroidal knight graphGraph theoryOpen11hDomination number of the 21 by 24 toroidal knight graphGraph theoryOpen11hDomination number of the 21 by 23 toroidal knight graphGraph theoryOpen11hDomination number of the 21 by 22 toroidal knight graphGraph theoryOpen11hDomination number of the 20 by 25 toroidal knight graphGraph theoryOpen11hDomination number of the 20 by 24 toroidal knight graphGraph theoryOpen11hDomination number of the 20 by 23 toroidal knight graphGraph theoryOpen11hDomination number of the 20 by 22 toroidal knight graphGraph theoryOpen11hDomination number of the 20 by 21 toroidal knight graphGraph theoryOpen11hDomination number of the 19 by 24 toroidal knight graphGraph theoryOpen11hDomination number of the 19 by 23 toroidal knight graphGraph theoryOpen11hDomination number of the 19 by 22 toroidal knight graphGraph theoryOpen11hDomination number of the 19 by 21 toroidal knight graphGraph theoryOpen11hDomination number of the 19 by 20 toroidal knight graphGraph theoryOpen11hDomination number of the 18 by 23 toroidal knight graphGraph theoryOpen11hDomination number of the 18 by 22 toroidal knight graphGraph theoryOpen11hDomination number of the 18 by 21 toroidal knight graphGraph theoryOpen11hDomination number of the 18 by 20 toroidal knight graphGraph theoryOpen11hDomination number of the 18 by 19 toroidal knight graphGraph theoryOpen11hIndependence number of the circulant graph C(577; 1, 21)Graph theoryOpen11hIndependence number of the circulant graph C(571; 1, 20)Graph theoryOpen11hIndependence number of the circulant graph C(569; 1, 19)Graph theoryOpen11hIndependence number of the circulant graph C(563; 1, 18)Graph theoryOpen11hIndependence number of the circulant graph C(557; 1, 17)Graph theoryOpen11hIndependence number of the circulant graph C(547; 1, 16)Graph theoryOpen11hIndependence number of the circulant graph C(541; 1, 15)Graph theoryOpen11hIndependence number of the circulant graph C(523; 1, 14)Graph theoryOpen11hIndependence number of the circulant graph C(521; 1, 13)Graph theoryOpen11hIndependence number of the circulant graph C(509; 1, 12)Graph theoryOpen11hIndependence number of the circulant graph C(503; 1, 11)Graph theoryOpen11hIndependence number of the circulant graph C(499; 1, 10)Graph theoryOpen11hIndependence number of the circulant graph C(491; 1, 9)Graph theoryOpen11hIndependence number of the circulant graph C(487; 1, 8)Graph theoryOpen11hIndependence number of the circulant graph C(479; 1, 7)Graph theoryOpen11hIndependence number of the circulant graph C(467; 1, 6)Graph theoryOpen11hIndependence number of the circulant graph C(463; 1, 5)Graph theoryOpen11hIndependence number of the circulant graph C(461; 1, 4)Graph theoryOpen11hIndependence number of the circulant graph C(457; 1, 3)Graph theoryOpen11hIndependence number of the circulant graph C(449; 1, 2)Graph theoryOpen11hIndependence number of the circulant graph C(443; 1, 21)Graph theoryOpen11hIndependence number of the circulant graph C(439; 1, 20)Graph theoryOpen11hIndependence number of the circulant graph C(433; 1, 19)Graph theoryOpen11hIndependence number of the circulant graph C(431; 1, 18)Graph theoryOpen11hIndependence number of the circulant graph C(421; 1, 17)Graph theoryOpen11hIndependence number of the circulant graph C(419; 1, 16)Graph theoryOpen11hIndependence number of the circulant graph C(409; 1, 15)Graph theoryOpen11hIndependence number of the circulant graph C(401; 1, 14)Graph theoryOpen11hIndependence number of the circulant graph C(397; 1, 13)Graph theoryOpen11hIndependence number of the circulant graph C(389; 1, 12)Graph theoryOpen11hIndependence number of the circulant graph C(383; 1, 11)Graph theoryOpen11hIndependence number of the circulant graph C(379; 1, 10)Graph theoryOpen11hIndependence number of the circulant graph C(373; 1, 9)Graph theoryOpen11hIndependence number of the circulant graph C(367; 1, 8)Graph theoryOpen11hIndependence number of the circulant graph C(359; 1, 7)Graph theoryOpen11hIndependence number of the circulant graph C(353; 1, 6)Graph theoryOpen11hIndependence number of the circulant graph C(349; 1, 5)Graph theoryOpen11hIndependence number of the circulant graph C(347; 1, 4)Graph theoryOpen11hIndependence number of the circulant graph C(337; 1, 3)Graph theoryOpen11hIndependence number of the circulant graph C(331; 1, 2)Graph theoryOpen11hExact C4-free extremal number on 70 verticesCombinatoricsOpen14hExact C4-free extremal number on 69 verticesCombinatoricsOpen14hExact C4-free extremal number on 67 verticesCombinatoricsOpen14hExact C4-free extremal number on 68 verticesCombinatoricsOpen14hExact C4-free extremal number on 64 verticesCombinatoricsOpen14hExact C4-free extremal number on 65 verticesCombinatoricsOpen14hExact C4-free extremal number on 66 verticesCombinatoricsOpen14hExact C4-free extremal number on 62 verticesCombinatoricsOpen14hExact C4-free extremal number on 63 verticesCombinatoricsOpen14hExact C4-free extremal number on 61 verticesCombinatoricsOpen14hExact C4-free extremal number on 60 verticesCombinatoricsOpen14hExact C4-free extremal number on 59 verticesCombinatoricsOpen14hExact C4-free extremal number on 58 verticesCombinatoricsOpen14hExact C4-free extremal number on 56 verticesCombinatoricsOpen14hExact C4-free extremal number on 55 verticesCombinatoricsOpen14hExact C4-free extremal number on 54 verticesCombinatoricsOpen14hExact C4-free extremal number on 53 verticesCombinatoricsOpen14hExact C4-free extremal number on 52 verticesCombinatoricsOpen14hExact C4-free extremal number on 51 verticesCombinatoricsOpen14hExact C4-free extremal number on 50 verticesCombinatoricsOpen14hRectilinear crossing number of K_48GeometryOpen14hRectilinear crossing number of K_47GeometryOpen14hRectilinear crossing number of K_46GeometryOpen14hRectilinear crossing number of K_45GeometryOpen14hRectilinear crossing number of K_43GeometryOpen14hRectilinear crossing number of K_44GeometryOpen14hRectilinear crossing number of K_42GeometryOpen14hRectilinear crossing number of K_41GeometryOpen14hRectilinear crossing number of K_38GeometryOpen14hRectilinear crossing number of K_39GeometryOpen14hRectilinear crossing number of K_40GeometryOpen14hRectilinear crossing number of K_36GeometryOpen14hRectilinear crossing number of K_37GeometryOpen14hRectilinear crossing number of K_34GeometryOpen14hRectilinear crossing number of K_35GeometryOpen14hRectilinear crossing number of K_33GeometryOpen14hRectilinear crossing number of K_32GeometryOpen14hRectilinear crossing number of K_31GeometryOpen14hRectilinear crossing number of K_30GeometryOpen14hRectilinear crossing number of K_29GeometryOpen14hExact Ramsey number R(4,29)CombinatoricsOpen14hExact Ramsey number R(4,28)CombinatoricsOpen14hExact Ramsey number R(4,27)CombinatoricsOpen14hExact Ramsey number R(4,26)CombinatoricsOpen14hExact Ramsey number R(4,25)CombinatoricsOpen14hExact Ramsey number R(4,24)CombinatoricsOpen14hExact Ramsey number R(4,23)CombinatoricsOpen14hExact Ramsey number R(4,22)CombinatoricsOpen14hExact Ramsey number R(4,21)CombinatoricsOpen14hExact Ramsey number R(4,20)CombinatoricsOpen14hExact Ramsey number R(4,19)CombinatoricsOpen14hExact Ramsey number R(4,18)CombinatoricsOpen14hExact Ramsey number R(4,17)CombinatoricsOpen14hExact Ramsey number R(4,16)CombinatoricsOpen14hExact Ramsey number R(4,15)CombinatoricsOpen14hExact Ramsey number R(4,14)CombinatoricsOpen14hExact Ramsey number R(4,13)CombinatoricsOpen14hExact Ramsey number R(4,12)CombinatoricsOpen14hExact Ramsey number R(4,11)CombinatoricsOpen14hExact Ramsey number R(4,10)CombinatoricsOpen14hMaximum determinant of a sign matrix of order 97CombinatoricsOpen14hMaximum determinant of a sign matrix of order 93CombinatoricsOpen14hMaximum determinant of a sign matrix of order 89CombinatoricsOpen14hMaximum determinant of a sign matrix of order 85CombinatoricsOpen14hMaximum determinant of a sign matrix of order 81CombinatoricsOpen14hMaximum determinant of a sign matrix of order 65CombinatoricsOpen14hMaximum determinant of a sign matrix of order 69CombinatoricsOpen14hMaximum determinant of a sign matrix of order 73CombinatoricsOpen14hMaximum determinant of a sign matrix of order 77CombinatoricsOpen14hMaximum determinant of a sign matrix of order 45CombinatoricsOpen14hMaximum determinant of a sign matrix of order 49CombinatoricsOpen14hMaximum determinant of a sign matrix of order 53CombinatoricsOpen14hMaximum determinant of a sign matrix of order 57CombinatoricsOpen14hMaximum determinant of a sign matrix of order 61CombinatoricsOpen14hMaximum determinant of a sign matrix of order 41CombinatoricsOpen14hMaximum determinant of a sign matrix of order 117CombinatoricsOpen14hMaximum determinant of a sign matrix of order 109CombinatoricsOpen14hMaximum determinant of a sign matrix of order 113CombinatoricsOpen14hMaximum determinant of a sign matrix of order 101CombinatoricsOpen14hMaximum determinant of a sign matrix of order 105CombinatoricsOpen14hExact kissing number in dimension 44GeometryOpen14hExact kissing number in dimension 43GeometryOpen14hExact kissing number in dimension 41GeometryOpen14hExact kissing number in dimension 42GeometryOpen14hExact kissing number in dimension 40GeometryOpen14hExact kissing number in dimension 39GeometryOpen14hExact kissing number in dimension 38GeometryOpen14hExact kissing number in dimension 37GeometryOpen14hExact kissing number in dimension 36GeometryOpen14hExact kissing number in dimension 35GeometryOpen14hExact kissing number in dimension 33GeometryOpen14hExact kissing number in dimension 34GeometryOpen14hExact kissing number in dimension 32GeometryOpen14hExact kissing number in dimension 30GeometryOpen14hExact kissing number in dimension 31GeometryOpen14hExact kissing number in dimension 29GeometryOpen14hExact kissing number in dimension 25GeometryOpen14hExact kissing number in dimension 26GeometryOpen14hExact kissing number in dimension 27GeometryOpen14hExact kissing number in dimension 28GeometryOpen14hDegree-diameter maximum for degree 4 and diameter 9CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 17CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 8CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 15CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 16CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 13CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 14CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 8CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 9CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 10CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 11CombinatoricsOpen14hDegree-diameter maximum for degree 4 and diameter 12CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 14CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 15CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 16CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 17CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 10CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 11CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 12CombinatoricsOpen14hDegree-diameter maximum for degree 3 and diameter 13CombinatoricsOpen14hExact order of a cubic cage of girth 30CombinatoricsOpen14hExact order of a cubic cage of girth 31CombinatoricsOpen14hExact order of a cubic cage of girth 32CombinatoricsOpen14hExact order of a cubic cage of girth 33CombinatoricsOpen14hExact order of a cubic cage of girth 34CombinatoricsOpen14hExact order of a cubic cage of girth 25CombinatoricsOpen14hExact order of a cubic cage of girth 26CombinatoricsOpen14hExact order of a cubic cage of girth 27CombinatoricsOpen14hExact order of a cubic cage of girth 28CombinatoricsOpen14hExact order of a cubic cage of girth 29CombinatoricsOpen14hExact order of a cubic cage of girth 21CombinatoricsOpen14hExact order of a cubic cage of girth 22CombinatoricsOpen14hExact order of a cubic cage of girth 23CombinatoricsOpen14hExact order of a cubic cage of girth 24CombinatoricsOpen14hExact order of a cubic cage of girth 18CombinatoricsOpen14hExact order of a cubic cage of girth 19CombinatoricsOpen14hExact order of a cubic cage of girth 20CombinatoricsOpen14hExact order of a cubic cage of girth 17CombinatoricsOpen14hExact order of a cubic cage of girth 16CombinatoricsOpen14hExact order of a cubic cage of girth 15CombinatoricsOpen14hExact covering number C(39,5,3)CombinatoricsOpen14hExact covering number C(38,5,3)CombinatoricsOpen14hExact covering number C(37,5,3)CombinatoricsOpen14hExact covering number C(36,5,3)CombinatoricsOpen14hExact covering number C(35,5,3)CombinatoricsOpen14hExact covering number C(34,5,3)CombinatoricsOpen14hExact covering number C(33,5,3)CombinatoricsOpen14hExact covering number C(32,5,3)CombinatoricsOpen14hExact covering number C(31,5,3)CombinatoricsOpen14hExact covering number C(30,5,3)CombinatoricsOpen14hExact covering number C(29,5,3)CombinatoricsOpen14hExact covering number C(28,5,3)CombinatoricsOpen14hExact covering number C(27,5,3)CombinatoricsOpen14hExact covering number C(26,5,3)CombinatoricsOpen14hExact covering number C(25,5,3)CombinatoricsOpen14hExact covering number C(24,5,3)CombinatoricsOpen14hExact covering number C(21,5,3)CombinatoricsOpen14hExact covering number C(22,5,3)CombinatoricsOpen14hExact covering number C(23,5,3)CombinatoricsOpen14hExact covering number C(20,5,3)CombinatoricsOpen14hExact binary strength-three covering array number for 35 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 34 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 33 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 32 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 31 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 30 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 29 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 27 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 28 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 26 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 25 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 24 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 23 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 22 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 21 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 20 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 18 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 19 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 17 factorsCombinatoricsOpen14hExact binary strength-three covering array number for 16 factorsCombinatoricsOpen14hExact constant-weight code number A(43,8,8)CombinatoricsOpen14hExact constant-weight code number A(42,8,8)CombinatoricsOpen14hExact constant-weight code number A(41,8,8)CombinatoricsOpen14hExact constant-weight code number A(40,8,8)CombinatoricsOpen14hExact constant-weight code number A(39,8,8)CombinatoricsOpen14hExact constant-weight code number A(38,8,8)CombinatoricsOpen14hExact constant-weight code number A(37,8,8)CombinatoricsOpen14hExact constant-weight code number A(36,8,8)CombinatoricsOpen14hExact constant-weight code number A(35,8,8)CombinatoricsOpen14hExact constant-weight code number A(34,8,8)CombinatoricsOpen14hExact constant-weight code number A(33,8,8)CombinatoricsOpen14hExact constant-weight code number A(32,8,8)CombinatoricsOpen14hExact constant-weight code number A(31,8,8)CombinatoricsOpen14hExact constant-weight code number A(30,8,8)CombinatoricsOpen14hExact constant-weight code number A(29,8,8)CombinatoricsOpen14hExact constant-weight code number A(28,8,8)CombinatoricsOpen14hExact constant-weight code number A(27,8,8)CombinatoricsOpen14hExact constant-weight code number A(26,8,8)CombinatoricsOpen14hExact constant-weight code number A(25,8,8)CombinatoricsOpen14hExact constant-weight code number A(24,8,8)CombinatoricsOpen14hExact size of a binary length-55 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-56 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-51 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-52 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-53 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-54 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-50 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-49 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-48 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-47 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-45 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-46 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-44 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-43 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-42 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-41 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-40 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-39 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-38 code with minimum distance 6CombinatoricsOpen14hExact size of a binary length-37 code with minimum distance 6CombinatoricsOpen14hMaximum number of three-term progressions in an 8-subset of Z/19ZAdditive combinatoricsOpen3dOuter order automorphisms of Dlab groupsGroup theoryOpen4dDistributive lattices of right-relatively convex subgroupsGroup theoryOpen4dEmbedding groups of type F into higher finiteness typesGroup theoryOpen4dQuasi-isometry types involving Thompson’s group FGroup theoryOpen4dSubgroups of Thompson’s group FGroup theoryOpen4dAutomaticity of Thompson’s group FGroup theoryOpen4dCoherence of free pro-p products with amalgamationGroup theoryOpen4dType F-infinity at infinite cohomological dimensionGroup theoryOpen4dVirtual freeness or surface structure from bounded Betti numbersGroup theoryOpen4dSubgroup structure of finitely presented groupsGroup theoryOpen4dPower subgroups in finite p-groupsGroup theoryOpen4dConjugacy classes in profinite groupsGroup theoryOpen4dCharacter degrees and trivial solvable radicalsGroup theoryOpen4dLocal subnormal abelian seriesGroup theoryOpen4dResidually finite p-groups with finite centreGroup theoryOpen4dSubgroups of Golod groups mapping onto infinite AT-groupsGroup theoryOpen4dFactorizations of odd-order abelian groupsGroup theoryOpen4dQuasi-isometry of spherical-type Artin groupsGroup theoryOpen4dCommensurability of the spherical Artin groups F4 and H4Group theoryOpen4dStable commutator length in right-angled Artin groupsGroup theoryOpen4dFinitely presented subgroups of right-angled Artin groupsGroup theoryOpen4dMapping tori of free-group automorphismsGroup theoryOpen4dVirtual specialness of CAT(0) free-by-cyclic groupsGroup theoryOpen4dCardinality of verbal subgroups in profinite groupsGroup theoryOpen4dJordan properties at a fixed primeGroup theoryOpen4dFinite-index kernels with prescribed homomorphismsGroup theoryOpen4dQuotients of residually finite groups by amenable kernelsGroup theoryOpen4dBounded acyclicity of branch groupsGroup theoryOpen4dWeakly ab-maximal finite groupsGroup theoryOpen4dComplete classes of finite groupsGroup theoryOpen4dTau-automorphisms of finite simple groupsGroup theoryOpen4dDerived length from character-degree countsGroup theoryOpen4dCharacter codegrees of finite groupsGroup theoryOpen4dDisjoint Folner sequences in topological groupsGroup theoryOpen4dFirst-order descriptions of group elementsGroup theoryOpen4dConcise words in residually finite groupsGroup theoryOpen4dMinimal topological groups and semidirect productsGroup theoryOpen4dAlmost simple automorphism groups of regular mapsGroup theoryOpen4dMultilinear commutator values covered by cyclic subgroupsGroup theoryOpen4dPeriodic groups with locally finite even centralizersGroup theoryOpen4dAlmost simple groups recognizable by prime graphsGroup theoryOpen4dBrauer-character counts and group structureGroup theoryOpen4dA diameter-three Q-polynomial distance-regular graphGroup theoryOpen4dThe sofic group problemGroup theoryOpen4dFlexible permutation stability implies permutation stabilityGroup theoryOpen4dSimple characteristic quotients of free groupsGroup theoryOpen4dLeft-orderable groups with one nontrivial conjugacy classGroup theoryOpen4dThe conjugacy problem in the class-transposition groupGroup theoryOpen4dAmenable torsion-free and prime-exponent Tarski monstersGroup theoryOpen4dIntegral Poincare duality from duality over every fieldGroup theoryOpen4dDeciding hyperbolicity for one-relator groupsGroup theoryOpen4dRecognition of finite semi-abelian groupsGroup theoryOpen4dAutomorphisms with small centralizers in soluble groupsGroup theoryOpen4dNormal subgroups of Sylow subgroups in p-soluble groupsGroup theoryOpen4dUniform subgroup membership for free-by-cyclic groupsGroup theoryOpen4dPresentations of finitely generated free-by-cyclic subgroupsGroup theoryOpen4dCharacter-degree multisets of almost simple groupsGroup theoryOpen4dCharacteristic subgroups of finite 3-groupsGroup theoryOpen4dAutomorphism groups of acylindrically hyperbolic groupsGroup theoryOpen4dUnbounded quasimorphisms and free subgroupsGroup theoryOpen4dFinitely presented groups isomorphic to a proper direct productGroup theoryOpen4dCohomological dimension of finitely presented simple groupsGroup theoryOpen4dGenerator rank of finitely presented infinite simple groupsGroup theoryOpen4dDense subgroups of iterated alternating wreath productsGroup theoryOpen4dNon-self-similar three-generator nilpotent groupsGroup theoryOpen4dSelf-similar metabelian groups containing a wreath productGroup theoryOpen4dLinear groups with finitely many automorphism orbitsGroup theoryOpen4dLocally finite groups with few characteristic subgroupsGroup theoryOpen4dFinite groups with prescribed spreadGroup theoryOpen4dConstructibility of soluble tdlc groups of type FP-infinityGroup theoryOpen4dFinite extensions in Kropholler’s hierarchyGroup theoryOpen4dCommutator values in finite groupsGroup theoryOpen4dUnique product groups outside the diffuse classGroup theoryOpen4dDunwoody accessibility for totally disconnected groupsGroup theoryOpen4dRealizing finite groups as derived subgroupsGroup theoryOpen4dRegular subgroups in holomorphs of soluble groupsGroup theoryOpen4dThe Haagerup property for one-relator groupsGroup theoryOpen4dCommon regular two-point stabilizers in primitive groupsGroup theoryOpen4dProducts of two derangements in finite simple groupsGroup theoryOpen4dGenerating finite groups with Sylow subgroupsGroup theoryOpen4dGeneration of finite simple groups by two Sylow subgroupsGroup theoryOpen4dChordality of enhanced power graphs of simple groupsGroup theoryOpen4dHopficity of restricted wreath productsGroup theoryOpen4dIrreducible algebraic-group actions in finite Morley rankGroup theoryOpen4dInvolution-free groups of finite Morley rank acting irreduciblyGroup theoryOpen4dIrreducible actions on simple groups of finite Morley rankGroup theoryOpen4dClosure operators on classes of metabelian groupsGroup theoryOpen4dFinite group width versus finite monoid widthGroup theoryOpen4dLarge free-abelian duals of subgroups of integer powersGroup theoryOpen4dGroups represented by nonprincipal ultraproduct imagesGroup theoryOpen4dCharacteristic intersections in free pro-p groupsGroup theoryOpen4dLocal-to-global IYB structure in finite soluble groupsGroup theoryOpen4dThe cyclic-block property for transitive Sylow subgroupsGroup theoryOpen4dTransitive Sylow subgroups of finitary permutation groupsGroup theoryOpen4dFive conjugates in groups with trivial solvable radicalGroup theoryOpen4dDisjoint soluble subgroups in symmetric and alternating groupsGroup theoryOpen4dOrder-divisibility bijections with finite simple groupsGroup theoryOpen4dWillems' lower bound for Brauer character degreesGroup theoryOpen4dPartition numbers dividing factorials beyond 39Number theoryOpen4dThe 89/325 derangement bound for finite simple transitive groupsGroup theoryOpen4d[#P3150] Ryser’s conjecture for odd-order Latin squaresCombinatoricsOpen6d[#P3062] Cycle Double Cover ConjectureGraph theoryResolvedLean-verified13d[#P3148] Whitehead asphericity conjectureTopologyOpen14d[#P3146] Is VP equal to VNP?Theoretical computer scienceOpen14d[#P3144] Is there a truly subcubic algorithm for weighted APSP?Theoretical computer scienceOpen14d[#P3142] The Total Coloring ConjectureCombinatoricsOpen14d[#P3140] Strong Exponential Time HypothesisTheoretical computer scienceOpen14d[#P3138] Positive metric entropy for the standard mapDynamical systemsOpen14d[#P3064] Sabidussi's Compatibility ConjectureGraph theoryOpen14d[#P3136] Ryser’s conjecture for multipartite hypergraphsCombinatoricsOpen14d[#P3134] Decidability of the real exponential fieldLogicOpen14d[#P3132] Purely cosmetic surgery conjectureTopologyOpen14d[#P3130] Polynomial-time recovery of planted cliques below the square-root scaleTheoretical computer scienceOpen14d[#P3128] Hot spots conjecture for convex planar domainsAnalysisOpen14d[#P3126] Do one-way functions exist?Theoretical computer scienceOpen14d[#P3124] All nonnegative limits of normalized consecutive-prime gapsNumber theoryOpen14d[#P3122] Backward self-similar Navier-Stokes profiles in a half-spaceAnalysisOpen14d[#P3120] Matrix Spencer discrepancy conjectureCombinatoricsOpen14d[#P3118] Does the matrix-multiplication exponent equal two?Theoretical computer scienceOpen14d[#P3116] Decidability of positivity for linear recurrence sequencesLogicOpen14d[#P3114] Kashaev volume conjecture for hyperbolic knotsTopologyOpen14d[#P3112] Is graph isomorphism solvable in polynomial time?Theoretical computer scienceOpen14d[#P3110] Generic analytic Arnold diffusion in a priori stable systemsDynamical systemsOpen14d[#P3108] Capacity of the general discrete memoryless relay channelInformation theoryOpen14d[#P3106] Exact capacity region of the two-user Gaussian interference channelInformation theoryOpen14d[#P3104] The one-quarter threshold for fitting Gaussian points by a centered ellipsoidProbabilityOpen14d[#P3102] Decidability of the first-order theory of F_p((t))LogicOpen14d[#P3100] Embeddability into a finite-group power semigroupAlgebraOpen14d[#P3098] Shelah's eventual categoricity conjecture for AECsLogicOpen14d[#P3096] Persistent exponential stretching of a material line in two-dimensional Euler flowAnalysisOpen14d[#P3066] Erdős Problem 152: isolated sums in Sidon setsAdditive combinatoricsOpen14d[#P3094] Dürer’s edge-unfolding problemGeometryOpen14d[#P3092] Existence and value of the diagonal Ramsey exponential limitGraph theoryOpen14d[#P3090] Is L equal to NL?Theoretical computer scienceOpen14d[#P3088] Conway’s thrackle conjectureCombinatoricsOpen14d[#P3086] An explicit exponential lower bound for diagonal Ramsey numbersGraph theoryOpen14d[#P3084] A common high-chromatic subgraph of two \(\aleph_1\)-chromatic graphsGraph theoryOpen14d[#P3082] Cabling conjecture for reducible Dehn surgeryTopologyOpen14d[#P3080] Four-cycle supersaturation just above the extremal thresholdGraph theoryOpen14d[#P3078] Is randomized polynomial time equal to deterministic polynomial time?Theoretical computer scienceOpen14d[#P3076] Borsuk’s conjecture in four dimensionsGeometryOpen14d[#P3074] Bochner-Riesz conjecture in higher dimensionsAnalysisOpen14d[#P3072] Birkhoff conjecture for integrable convex billiardsDynamical systemsOpen14d[#P3070] Barnette’s conjectureCombinatoricsOpen14d[#P3068] Minimum avoiding alphabet for every avoidable wordCombinatoricsOpen14d[#P2850] Unbounded numbers of integral points on global minimal elliptic curvesNumber theoryOpen14d[#P2516] The sharp Dirichlet Poincare constant with two moment constraintsReal analysisResolvedNot Lean-verified14d[#P2602] Multiplicative complexity of the six-bit threshold-at-least-three functionCircuit complexityResolvedNot Lean-verified14d[#P2448] Eventual unimodality of ternary subset-sum polynomialsAlgebraic combinatoricsResolvedNot Lean-verified14d[#P2860] A Tarski monster of exponent fiveAlgebraOpen14d[#P2598] Rank log-concavity for symmetric binary matrices through order fiftyProbabilistic combinatoricsResolvedNot Lean-verified14d[#P2750] Trace-indistinguishable triples in sl2(F5)AlgebraOpen14d[#P2698] Longest rotor-router cover time on the eight by eight gridDiscrete dynamical systemsOpen14d[#P2502] Minimum spanning-tree dilation on the regular nonagonComputational geometryResolvedNot Lean-verified14d[#P2762] Rational points on y^2=x^6-x^2+1Arithmetic geometryOpen14d[#P2670] Largest rainbow squarefree gap below 10^12Multiplicative number theoryOpen14d[#P2658] Longest rainbow divisor-count interval below 10^12Multiplicative number theoryOpen14d[#P2870] Consistency strength of projective Ramsey regularityLogicOpen14d[#P2638] Sparsest degree-600 recurrence for a prime-indicator prefixInteger sequencesOpen14d[#P2922] Planar drums whose spectra differ only finitelySpectral geometryOpen14d[#P2848] Unbounded continued-fraction coefficients of piNumber theoryOpen14d[#P2536] Monotonicity of consecutive-adjacency avoidance in random permutationsProbabilityResolvedNot Lean-verified14d[#P2742] Square-class collisions in the Pell-Lucas sequenceNumber theoryOpen14d[#P2518] Optimal symmetric three-point quadrature for a bounded second derivativeReal analysisResolvedNot Lean-verified14d[#P2572] Smallest variable-order OBDD for the middle bit of six-bit multiplicationDecision diagramsResolvedNot Lean-verified14d[#P2906] Computability of the area of the Mandelbrot setComplex dynamicsOpen14d[#P2904] Integral-root classification for Lloyd polynomialsCoding theoryOpen14d[#P2888] Completing a line arrangement to triangular bounded cellsDiscrete geometryOpen14d[#P2510] Homotopy type of a Lee-metric Rips complex on the 7 by 7 torusComputational topologyResolvedNot Lean-verified14d[#P2924] Openness of convolution on l1 of the integersFunctional analysisOpen14d[#P2556] A period-six recurrence for domination on the three-row knight graphGraph theoryResolvedNot Lean-verified14d[#P2814] Torsion-freeness for king-grid independence complexesTopologyOpen14d[#P2696] Longest cycle of a nonlinear area-preserving map over F_1000003Finite dynamical systemsOpen14d[#P2862] Kaplansky's sixth conjecture for semisimple Hopf algebrasAlgebraOpen14d[#P2662] Most irreducible constant slices of a sparse quintic over F_101Finite fieldsResolvedNot Lean-verified14d[#P2526] An ideal Prouhet-Tarry-Escott solution of size elevenDiophantine equationsOpen14d[#P2936] Complete coverage by random disks at the harmonic scaleProbabilityOpen14d[#P2584] Exact Hamiltonicity probability on eight labeled verticesProbabilistic combinatoricsResolvedNot Lean-verified14d[#P2604] Largest subtour-LP gap among eight-vertex graph metricsCombinatorial optimizationOpen14d[#P2872] Infinitely many ones in the greedy three-term-progression-free sequenceCombinatorics on wordsOpen14d[#P2900] Gathering the frog game at the root of a full binary treeCombinatorial gamesOpen14d[#P2892] Plane tilings by every five-cell lattice animalTiling theoryOpen14d[#P2858] Ternary representatives of finite-order integral matricesAlgebraOpen14d[#P2908] A free group generated by exponential and squaring mapsReal analysisOpen14d[#P2532] Longest four-number Ducci trajectory in the 100 boxDiscrete dynamical systemsResolvedNot Lean-verified14d[#P2682] Most lattice points with all pairwise slopes distinct in a ten by ten gridDiscrete geometryOpen14d[#P2636] Difference size of Z_127Additive combinatoricsResolvedNot Lean-verified14d[#P2804] Flip-graph diameter for triangulations of C(10,4)Computational geometryOpen14d[#P2730] Sharp fourth-power norm of the cyclic Hilbert transform at order 31Harmonic analysisOpen14d[#P2882] Minimum distinct diagonal intersections in a convex polygonDiscrete geometryOpen14d[#P2570] Leaf complexity of six-vertex graph connectivityDecision tree complexityResolvedNot Lean-verified14d[#P2676] Most spanning trees in a 10-regular circulant on 101 verticesAlgebraic graph theoryResolvedNot Lean-verified14d[#P2440] Maximum determinant of a zero-diagonal binary symmetric Toeplitz matrix of order 20Matrix theoryResolvedNot Lean-verified14d[#P2928] Complexity of equality for binary-code weight enumeratorsComputational complexityOpen14d[#P2896] Logarithmic dimension for almost-equilateral sets in Banach spacesBanach spacesOpen14d[#P46] Zauner's conjectureQuantum informationOpen15d[#P36] Yang-Mills existence and mass gapMathematical physicsOpen15d[#P44] Unique Games conjectureComputational complexityOpen15d[#P41] Union-closed sets conjectureCombinatoricsOpen15d[#P28] Twin prime conjectureNumber theoryOpen15d[#P2874] Five-colouring triangle-free graphs of maximum degree sixGraph theoryOpen15d[#P29] Three-dimensional Euler regularityPartial differential equationsOpen15d[#P2878] Orders of ternary row-orthogonal matrices with a full rowCombinatorial matrix theoryOpen15d[#P2854] A support-three zero divisor over a torsion-free groupAlgebraOpen15d[#P10] Sum of three cubes problemNumber theoryOpen15d[#P2788] Components of the Pasch-switch graph on STS(15) classesDesign theoryOpen15d[#P13] Square peg problemGeometryOpen15d[#P2866] Set-theoretic complete intersections for complex space curvesAlgebraic geometryOpen15d[#P26] Smooth four-dimensional Poincaré conjectureTopologyOpen15d[#P15] Schanuel's conjectureTranscendental number theoryOpen15d[#P2812] Positive cycle entropy for finite cyclic Rule 30DynamicsOpen15d[#P45] Rota's basis conjectureLinear algebraOpen15d[#P31] Riemann hypothesisAnalytic number theoryOpen15d[#P2800] Rectilinear crossing number of K_28Computational geometryOpen15d[#P2846] Irreducibility probability for random Littlewood polynomialsNumber theoryOpen15d[#P2894] Rainbow perfect matchings from eight spanning color classesGraph theoryOpen15d[#P42] Quantum PCP conjectureQuantum computingOpen15d[#P2840] A two-variable polynomial whose integer image is exactly the nonnegative integersNumber theoryOpen15d[#P2838] A polynomial bijection from the rational plane to the rational lineNumber theoryOpen15d[#P2898] Line-cover numbers of the dodecahedral and icosahedral graphsGraph drawingOpen15d[#P24] Plane Jacobian conjectureAlgebraic geometryOpen15d[#P2842] Improve the upper exponent for the longest Pierce remainder chainNumber theoryOpen15d[#P14] Perfect cuboid problemNumber theoryOpen15d[#P39] P versus NPComputational complexityOpen15d[#P2902] Positivity of the p-element centralizer generalized characterFinite groupsOpen15d[#P2868] An o-minimal function faster than every finite exponential iterateLogicOpen15d[#P51] Novikov conjectureTopologyOpen15d[#P38] Nonexistence of odd perfect numbersNumber theoryOpen15d[#P2884] Constructing a union from non-cancelling intersectionsCombinatoricsOpen15d[#P2930] Winner complexity of Node Kayles on subcubic treesCombinatorial gamesOpen15d[#P17] Navier-Stokes existence and smoothnessPartial differential equationsOpen15d[#P2802] Minimum number of convex pentagons determined by seventeen pointsDiscrete geometryOpen15d[#P2810] A half-edge transient bound for majority dynamics on the square torusDynamicsOpen15d[#P33] Lonely runner conjectureDiophantine approximationOpen15d[#P11] Littlewood conjectureDiophantine approximationOpen15d[#P2918] Weak vanishing of a horizontal line in Conway's LifeCellular automataOpen15d[#P34] Lehmer's Mahler measure problemNumber theoryOpen15d[#P25] Legendre's conjectureNumber theoryOpen15d[#P50] Kaplansky zero-divisor conjectureAlgebraOpen15d[#P30] Kakeya conjecture in dimensions at least fourHarmonic analysisOpen15d[#P37] Inverse Galois problemAlgebraOpen15d[#P35] Infinitely many Mersenne primesNumber theoryOpen15d[#P7] Hodge conjectureAlgebraic geometryOpen15d[#P27] Hilbert's tenth problem over the rationalsLogicOpen15d[#P9] Hilbert's sixteenth problem, second partDynamical systemsOpen15d[#P52] Hadwiger-Nelson problemDiscrete geometryOpen15d[#P23] Hadwiger's conjectureGraph theoryOpen15d[#P22] Hadamard matrix conjectureLinear algebraOpen15d[#P49] Graph reconstruction conjectureGraph theoryOpen15d[#P40] Graceful tree conjectureGraph theoryOpen15d[#P3] Goldbach conjectureNumber theoryOpen15d[#P2920] Simple Laplace spectrum for a generic metric in a Kahler classSpectral geometryOpen15d[#P4] Four exponentials conjectureNumber theoryOpen15d[#P8] Fermat-Catalan conjectureNumber theoryOpen15d[#P12] Falconer distance conjectureGeometric measure theoryOpen15d[#P2844] Classify factorials in the interior of Pascal's triangleNumber theoryOpen15d[#P2876] A rainbow-free three-colouring of unit triangles in three-spaceDiscrete geometryOpen15d[#P5] Erdős-Straus conjectureNumber theoryOpen15d[#P6] Erdős-Moser conjectureNumber theoryOpen15d[#P43] Erdős-Hajnal conjectureGraph theoryOpen15d[#P2880] Zero density in the easily bored sequenceCombinatorics on wordsOpen15d[#P32] Cramér's prime-gap conjectureAnalytic number theoryOpen15d[#P19] Collatz conjectureDiscrete dynamical systemsOpen15d[#P2914] A rigorous stochastic-dominance counterexample in one-dimensional coalescenceProbabilityOpen15d[#P2934] Effectivity of cocongruences in commutative monoidsCategory theoryOpen15d[#P21] Bunyakovsky conjectureNumber theoryOpen15d[#P16] Birch and Swinnerton-Dyer rank conjectureArithmetic geometryOpen15d[#P2834] Logarithmic DFA separation of binary wordsTheoretical computer scienceOpen15d[#P47] Berge-Fulkerson conjectureGraph theoryOpen15d[#P20] Beal conjectureDiophantine equationsOpen15d[#P18] Artin's primitive root conjectureNumber theoryOpen15d[#P48] Andrews-Curtis conjectureGroup theoryOpen15d[#P2926] An infinite-dimensional Banach space where every operator attains its normFunctional analysisOpen15d[#P2822] Least uniform modulus of an abelian-square-free morphism on four lettersCombinatorics on wordsOpen15d[#P2628] Zero-sum-free subsets of the unit sphere over F_7Zero sum theoryResolvedNot Lean-verified15d[#P2622] Largest four-term-progression-free subset of Z_101Additive combinatoricsOpen15d[#P2654] Densest inverse of a weight-five binary cyclic polynomialFinite ringsOpen15d[#P2680] Largest equilateral-triangle-free subset of the fifteen-row triangular latticeDiscrete geometryOpen15d[#P2694] Largest cyclic winning margin for six disjoint six-sided diceProbabilityOpen15d[#P2588] Median satisfiability threshold for a six-variable clause setProbabilistic combinatoricsOpen15d[#P2722] Maximum half-noise stability of a 794-set in the twelve cubeProbabilityOpen15d[#P2576] Minimum propagation-complete CNF for five-bit parityPropositional logicOpen15d[#P2436] Least trinomial multiple of a primitive degree-61 polynomialFinite fieldsOpen15d[#P2428] Grid points with no three collinear and no four concyclicDiscrete geometryOpen15d[#P2706] Worst nearest-neighbor tour on a ten-vertex graph metricCombinatorial optimizationOpen15d[#P2664] Largest multiplicative Sidon subset of the first 200 integersMultiplicative combinatoricsOpen15d[#P2744] Minimal vanishing sums of distinct 105th rootsNumber theoryOpen15d[#P2646] Largest girth from two generators of SL(2,101)Finite groupsOpen15d[#P2738] Prime exceptions to connectivity of the Markoff graphNumber theoryOpen15d[#P2712] Two-cycle probability for majority dynamics on the eight torusCellular dynamicsOpen15d[#P2544] Sharp long-shift autocorrelation for half-measure circle setsMeasure theoryOpen15d[#P2690] Flattest 32-term Littlewood polynomial on the unit circleHarmonic analysisOpen15d[#P2600] Shortest superstring of the binary Lyndon words of length eightFormal languagesResolvedNot Lean-verified15d[#P2700] Exact heat-bath spectral gap on the six by six Ising torusMathematical physicsOpen15d[#P2720] Largest cycle of a Hénon permutation over the 65537 fieldArithmetic dynamicsOpen15d[#P2718] Nearest hard-square partition-function zero for the sixteen gridMathematical physicsOpen15d[#P2594] Hard-core coefficient log-concavity on the first ten thousand four-cycle stripsMathematical physicsOpen15d[#P2708] Largest first Betti number of a connected Hamming Rips complexComputational topologyOpen15d[#P2724] Largest expected cover time on the four by five gridProbabilityOpen15d[#P2458] Does the greedy one-common-bit sequence visit every positive integer?Integer sequencesOpen15d[#P2686] Exact tunnel probability for site percolation on a four by four by four cubical boxProbabilistic topologyOpen15d[#P2548] Power-of-two solution counts for a finite-field functional equationFunctional equationsOpen15d[#P2550] Exact Jensen stability constant on the eighth dyadic gridFunctional equationsOpen15d[#P2474] Minimum distinct-product basis of F_101Additive basesOpen15d[#P2560] Reset threshold of the cyclic pair-compression automatonAutomata theoryOpen15d[#P2632] Largest cyclic 3-(31,5,1) packingDesign theoryOpen15d[#P2702] Most antiferromagnetic ground states in a 3-connected cubic graph on twenty verticesMathematical physicsOpen15d[#P2634] Exact value of CAN(3,15,3)Covering arraysOpen15d[#P2684] Largest first-homology torsion from forty-five triangles on eleven verticesComputational topologyOpen15d[#P2692] Sharp L2 norm of the centered maximal operator on C_31Harmonic analysisOpen15d[#P2726] Exact spanning-set count for two-neighbor bootstrap percolation on the eight gridProbabilityOpen15d[#P2666] Most divisors of a binomial coefficient with top at most 10^6Multiplicative number theoryOpen15d[#P2590] Optimal balanced-subset Mastermind on twelve pointsCombinatorial searchOpen15d[#P2456] Sharp multipliers for balanced binary productsNumber theoryOpen15d[#P2984] Additive Complements to the Primes with Sub-Log-Squared DensityNumber theoryOpen16d[#P3048] Asymptotic formula for the maximum size of a 3-term-AP-free subset of \(\{1,\dots,N\}\)Number theoryOpen16d[#P3044] Asymptotic growth of consecutive van der Waerden number quotientsNumber theoryOpen16d[#P3054] Asymptotic Growth of Mean Square Gaps in Sumsets of Sidon SetsCombinatoricsOpen16d[#P3026] Asymptotic growth of minimum distinct distances for point sets in general positionDiscrete geometryOpen16d[#P3016] Asymptotic growth of the maximum guaranteed order of a regular induced subgraphCombinatoricsOpen16d[#P3032] Asymptotic upper bound for lines containing exactly four pointsDiscrete geometryOpen16d[#P3046] Consecutive Primes in Arithmetic ProgressionCombinatoricsOpen16d[#P3050] Convergence of a weighted sum over well-separated setsNumber theoryOpen16d[#P2970] Convergence of an alternating series involving primesNumber theoryOpen16d[#P2966] Convergence of the Reciprocal Sum for Good SetsNumber theoryOpen16d[#P3028] Equilateral Triangles in Diameter-Minimizing Point Sets with Unit Minimum DistanceDiscrete geometryOpen16d[#P3020] Erdős Distinct Distances Lower Bound ConjectureDiscrete geometryOpen16d[#P3038] Erdős Problem 124: Sums of Distinct Powers with Nonzero Exponent ShiftNumber theoryOpen16d[#P2978] Erdős Problem 25: Existence of Logarithmic Density for Size-Dependent Congruence Avoidance SetsNumber theoryOpen16d[#P2982] Erdős Problem 30 on Sidon SetsNumber theoryOpen16d[#P2992] Erdős Problem 40 on additive bases with slow growthNumber theoryOpen16d[#P2994] Erdős Problem 41 on Distinct Triple SumsNumber theoryOpen16d[#P2976] Erdős–Rado sunflower threshold growth rateCombinatoricsOpen16d[#P3006] Erdős's Additive Representation Density ProblemNumber theoryOpen16d[#P2958] Erdős's Conjecture on Divergent Reciprocal Sums and Arithmetic ProgressionsNumber theoryOpen16d[#P2974] Erdős's Conjecture on Practical Numbers with Bounded Representation ComplexityNumber theoryOpen16d[#P3030] Erdős's distinct distances diameter problemDiscrete geometryOpen16d[#P3036] Erdős's Problem on Affine Copies of Infinite Sets in Sets of Positive MeasureCombinatoricsOpen16d[#P3034] Erdős's problem on high-girth, high-chromatic-number subgraphsCombinatoricsOpen16d[#P2968] Erdős's Problem on Non-Unique Representability as SumsNumber theoryOpen16d[#P2962] Erdős's Problem on Sums of a Prime and Powers of 2CombinatoricsOpen16d[#P3014] Erdős's problem on uncountable graphs with large independent sets in all large finite subgraphsCombinatoricsOpen16d[#P2964] Erdős's squarefree-power-of-two sum problemNumber theoryOpen16d[#P2956] Erdős's sum-distinct set problem for real numbersCombinatoricsOpen16d[#P3002] Erdős's sum-product growth problem for finite sets of integersNumber theoryOpen16d[#P3012] Erdős's variant on almost-bipartite subgraphs of infinite-chromatic graphsCombinatoricsOpen16d[#P3000] Existence of an Infinite Set of Totient Values with Superlinear Minimal PreimagesNumber theoryOpen16d[#P2996] Existence of asymptotically optimal Sidon sets in initial intervalsCombinatoricsOpen16d[#P2990] Existence of dense infinite Sidon setsNumber theoryOpen16d[#P3052] Existence of the Mean Power Limit for Squarefree GapsNumber theoryOpen16d[#P2972] Infinitude of Cluster PrimesNumber theoryOpen16d[#P3008] Irrationality of the Factorial Reciprocal Minus One SeriesNumber theoryOpen16d[#P3024] Linear upper bound for unit distances in convex polygonsDiscrete geometryOpen16d[#P3040] Maximal Number of Distinct Prime Factors in Pairwise Sums ProductsNumber theoryOpen16d[#P3018] Monotonicity of the minimum degree forcing a 4-cycleCombinatoricsOpen16d[#P2998] Non-existence of positive derivatives for the distribution function of Euler's totient ratioNumber theoryOpen16d[#P3022] Non-uniqueness of point sets minimizing distinct distancesDiscrete geometryOpen16d[#P2960] Positive Upper Density of Odd Numbers Not Representable as a Prime Plus Two Powers of 2CombinatoricsOpen16d[#P3042] Powerful Numbers in Products of Consecutive IntegersNumber theoryOpen16d[#P3010] The 3-uniform partition relation for the continuumMathematical logicOpen16d[#P3004] The Erdős–Hajnal Conjecture on Polynomial Ramsey-Type BoundsCombinatoricsOpen16d[#P2988] The limit of the minimum overlap quotientCombinatoricsOpen16d[#P2986] The minimal upper density of a square-additive basis for the natural numbersNumber theoryOpen16d[#P2980] Unbounded representation function for sets with cofinite sumsetNumber theoryOpen16d[#P2420] Nonvanishing of Rudin-Shapiro Hankel determinantsAutomatic sequencesOpen17d[#P2794] Covering radius of the second-order Reed-Muller code RM(2,8)Coding theoryOpen17d[#P2796] Exact mixed-dimension subspace-code number A_2(7,4)Coding theoryOpen17d[#P2608] Shortest addition chain for the 127th Mersenne numberAddition chainsOpen17d[#P2816] Integral torsion in scale-four hypercube Rips complexesTopologyOpen17d[#P2798] Exact ten-point Heilbronn number in the unit squareDiscrete geometryOpen17d[#P2430] Merging of orbits under adding the product of nonzero digitsNumber theoryOpen17d[#P2818] The three-halves bound for distinct squares in circular wordsCombinatorics on wordsOpen17d[#P2820] Eventual existence of four-letter circular abelian-square-free wordsCombinatorics on wordsOpen17d[#P2422] Nonvanishing of Baum-Sweet Hankel determinantsAutomatic sequencesOpen17d[#P2624] A 14-element B_2[2] set in Z_100Additive combinatoricsOpen17d[#P2824] Infinite additive-square avoidance over a finite integer alphabetCombinatorics on wordsOpen17d[#P2826] Additive-cube avoidance on the alphabet zero through threeCombinatorics on wordsOpen17d[#P2832] Polynomial determinization of two-way finite automataTheoretical computer scienceOpen17d[#P2836] Decidability of zeros in integer linear recurrence sequencesLogicOpen17d[#P2830] Strong block universality of Conway's Game of LifeDynamicsOpen17d[#P2828] Asser's complement problem for first-order spectraLogicOpen17d[#P2716] Most squares spanned by twenty points of the ten gridDiscrete geometryOpen17d[#P2534] Three mutually orthogonal Latin squares of order tenDesign theoryOpen17d[#P2650] A bounded three-cubes search for 114Diophantine equationsOpen17d[#P2714] Tammes separation for fifteen points on the sphereGeometryOpen17d[#P2640] Maximum determinant of a skew Seidel matrix of order 34Matrix theoryOpen17d[#P2538] Eventual monotonicity in a signed subset-sum local limitProbabilityOpen17d[#P2660] Number of reduced Latin squares of order 12Enumerative combinatoricsOpen17d[#P2728] Number of singular ten by ten binary matrices over the realsProbabilityOpen17d[#P2508] A 43-vertex graph for the diagonal Ramsey problem R(5,5)Ramsey theoryOpen17d[#P2616] A binary q-analog of the Fano planeFinite geometryOpen17d[#P2614] A projective plane of order 12Finite geometryOpen17d[#P2484] Closest prime square to the cube of a prime below one trillionPrime distributionOpen17d[#P2912] The value of Levine's two-player coin-index gameProbabilityOpen17d[#P2520] A Hadamard matrix of order 668Combinatorial designsOpen17d[#P2618] An extremal Type II binary code of length 72Coding theoryOpen17d[#P2540] Eventual decrease for distinct cycle lengths in random permutationsProbabilityOpen17d[#P2562] Covering every five-set with eight-sets on sixteen pointsDesign theoryOpen17d[#P2612] Existence of a Costas array of order 32Combinatorial designsOpen17d[#P2610] Exact size of a length-17 constant-weight codeCoding theoryOpen17d[#P2504] A 368-word code in the fifth strong power of the 7-cycleInformation theoryOpen17d[#P2620] An APN permutation of the 256-element fieldFinite fieldsOpen17d[#P2] Determinants of the Fibonacci-sum matrixCombinatoricsResolvedLean-verified25d[#P1] Nonzero determinants of the Fibonacci-sum matrixCombinatoricsOpen25d