|
| |
|
|
A007083
|
|
Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.
(Formerly M0372)
|
|
19
| |
|
|
0, 0, 1, 0, 1, 1, 2, 2, 8, 8, 32, 57, 185, 466, 1543, 4583, 15374, 50116, 171168, 582603, 2024119, 7057472, 24873248, 88111772, 314301078, 1126716000, 4060375677, 14697571234, 53432834170, 195015189626, 714404259151, 2626130395699
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,7
|
|
|
COMMENTS
| Also the number of species of spherical latin bi-trades of size n. - Ian Wanless, Oct 08 2007
|
|
|
REFERENCES
| N. Cavenagh and P. Lisonek, Planar Eulerian triangulations are equivalent to spherical latin bitrades, J. Combin. Theory Ser. A 115 (2008), no. 1, 193-197.
A. Drapal, C. Hamalainen and D. Rosendorf, An enumeration of spherical latin bitrades, arXiv 0907.1376, Sep 16 2009.
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.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
I. M. Wanless, A computer enumeration of small latin trades, Australas. J. Combin. 39, (2007) 247-258.
|
|
|
LINKS
| G. Brinkmann, and B.D. McKay, Fast generation of planar graphs, MATCH Commun. Math. Comput. Chem., 58 (2007) 323-357 [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010]
G. Brinkmann, and B.D. McKay, Guide to using plantri (version 4.1). [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010]
|
|
|
CROSSREFS
| Cf. A169955.
Sequence in context: A155950 A162959 A158302 * A144060 A016119 A037223
Adjacent sequences: A007080 A007081 A007082 * A007084 A007085 A007086
|
|
|
KEYWORD
| nonn
|
|
|
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.
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010
|
| |
|
|
