A307957 -id:A307957 - 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.

A374310 Number of planar graphs of order n with exactly one Hamiltonian cycle and girth at least 4.

Original entry on oeis.org

0, 1, 1, 2, 3, 11, 33, 178, 1011, 6816, 47669, 352901, 2680512, 20939433, 166713951, 1352143860, 11129922982

Offset: 3

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 1 at p. 10.
Eric Weisstein's World of Mathematics, Planar Graph.
Eric Weisstein's World of Mathematics, Uniquely Hamiltonian Graph.

Cf. A307957, A374311.

A374311 Number of planar graphs of order n with exactly one Hamiltonian cycle and girth at least 5.

Original entry on oeis.org

0, 0, 1, 1, 1, 3, 4, 8, 23, 91, 317, 1353, 6473, 30834, 148907, 768178, 3987517, 20767030, 110819167, 599311836, 3256610004

Offset: 3

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 1 at p. 10.
Eric Weisstein's World of Mathematics, Planar Graph.
Eric Weisstein's World of Mathematics, Uniquely Hamiltonian Graph.

Cf. A307957, A374310.

Showing 1-3 of 3 results.