A374315 -id:A374315 - cp's OEIS frontend

Showing 1-3 of 3 results.

A307956 Number of graphs of order n with exactly one Hamiltonian cycle.

Original entry on oeis.org

0, 0, 1, 2, 3, 12, 49, 482, 6380, 135252, 3939509, 166800470, 9739584172, 818717312364, 95353226103276

Offset: 1

Jan Goedgebeur, May 08 2019

Jan Goedgebeur, Barbara Meersman, and Carol T. Zamfirescu, Graphs with few Hamiltonian Cycles, arXiv:1812.05650 [math.CO], 2018-2019. See Table 4 at p. 23.
Eric Weisstein's World of Mathematics, Uniquely Hamiltonian Graph.

Cf. A307957, A374312, A374313, A374314, A374315, A374316.

A374314 Number of graphs of order n with exactly two Hamiltonian cycles.

Original entry on oeis.org

0, 0, 0, 2, 11, 75, 740, 10692, 229068, 7005022, 305866545, 18868736922

Offset: 2

Stefano Spezia, Jul 04 2024

Jan Goedgebeur, Barbara Meersman, and Carol T. Zamfirescu, Graphs with few Hamiltonian Cycles, arXiv:1812.05650 [math.CO], 2018-2019. See Table 6 at p. 27.

Cf. A126149, A307956, A374315, A374316.

A374316 Number of graphs of order n with at least four Hamiltonian cycles.

Original entry on oeis.org

0, 0, 0, 3, 22, 242, 4691, 154942, 8808453, 867760434, 151839645047, 48280546012319

Offset: 2

Stefano Spezia, Jul 04 2024

Jan Goedgebeur, Barbara Meersman, and Carol T. Zamfirescu, Graphs with few Hamiltonian Cycles, arXiv:1812.05650 [math.CO], 2018-2019. See Table 6 at p. 27.

Cf. A126149, A307956, A374314, A374315.

Showing 1-3 of 3 results.