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A007083 Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.
(Formerly M0372)
+0
19
0, 0, 1, 0, 1, 1, 2, 2, 8, 8, 32, 57, 185, 466, 1543, 4583, 15374, 50116, 171168 (list; graph; listen)
OFFSET

2,7

COMMENT

Also the number of species of spherical latin bi-trades of size n. - Ian Wanless, Oct 08 2007

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. Cavenagh and P. Lisonek, Planar Eulerian triangulations are equivalent to spherical latin bitrades, J. Combin. Theory, Series A, to appear, 2007.

D. A. Holton et al., Hamiltonian cycles in cubic 3-connected bipartite planar graphs, J. Combin. Theory, B 38 (1985), 279-297.

Sciriha, I. and Fowler, P.W., Nonbonding Orbitals in Fullerenes: Nuts and Cores in Singular Polyhedral Graphs J. Chem. Inf. Model., 47, 5, 1763 - 1775, 2007.

I. M. Wanless, A computer enumeration of small latin trades, Australas. J. Combin. 39, (2007) 247-258.

CROSSREFS

Sequence in context: A155950 A162959 A158302 this_sequence A144060 A016119 A037223

Adjacent sequences: A007080 A007081 A007082 this_sequence A007084 A007085 A007086

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein (mira(AT)math.berkeley.edu)

EXTENSIONS

Description and initial terms corrected by Gordon Royle (gordon(AT)maths.uwa.edu.au) Feb 15 1999.

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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