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A001186 Number of cubic Hamiltonian graphs with 2n nodes. 1
1, 2, 5, 17, 80, 474, 3841, 39635, 495991, 7170657, 116171803, 2070451150 (list; graph; refs; listen; history; text; internal format)



McKay, Brendan D.; Royle, Gordon F.; Constructing the cubic graphs on up to 20 vertices. Thirteenth Australasian conference on combinatorial mathematics and computing (Sydney, 1985). Ars Combin. 21 (1986), A, 129-140.


Table of n, a(n) for n=2..13.

F. C. Bussemaker, S. Cobeljic, L. M. Cvetkovic and J. J. Seidel, Computer investigations of cubic graphs, T.H.-Report 76-WSK-01, Technological University Eindhoven, Dept. Mathematics, 1976 [From N. J. A. Sloane, Jan 12 2012].

R. J. Mathar, The Wigner 3n-j Graphs up to 12 Vertices, arXiv preprint arXiv:1109.2358 [math-ph], 2011, 2012.

Roman Maurer, Counting small hamiltonian cubic graphs.

Roman Maurer, vega06.zip [substitute for the broken link above] [From R. J. Mathar, Sep 22 2010]

R. W. Pratt, The complete catalog of 3-regular diameter-3 planar graphs, Table 2 (1996)


a(n) + A164919(n) = A002815(n). [R. J. Mathar, Sep 22 2010]


Sequence in context: A243337 A259622 A054499 * A125282 A020125 A076322

Adjacent sequences:  A001183 A001184 A001185 * A001187 A001188 A001189




Martin Harborth (Martin.Harborth(AT)vt.siemens.de)


One more term from Vladeta Jovovic, Jul 02 2007

a(12) from Sean A. Irvine, Sep 25 2015

a(13) from Sean A. Irvine, Oct 06 2015



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Last modified May 27 22:57 EDT 2017. Contains 287210 sequences.