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A059282 Number of symmetric trivalent (or cubic) connected graphs on 2n nodes (the Foster census). 2
0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 3, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 3, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 3, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 3, 1, 3, 1, 3, 0, 0, 0, 0, 2, 0, 0, 3, 1, 0, 0, 1, 1, 0, 1, 4, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Potočnik et al. refer to these as arc-transitive connected cubic vertex-transitive graphs.

REFERENCES

I. Z. Bouwer, W. W. Chernoff, B. Monson and Z. Star, The Foster Census (Charles Babbage Research Centre, 1988), ISBN 0-919611-19-2.

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..640, based on the work of Primož Potočnik, Pablo Spiga and Gabriel Verret

Primož Potočnik, Pablo Spiga and Gabriel Verret, A census of small connected cubic vertex-transitive graphs (See the sub-page Table.html)

Gordon Royle et al., Cubic symmetric graphs (The Foster Census)

Gordon Royle et al., Browse the Graphs

Eric Weisstein's World of Mathematics, Cubic Symmetric Graph

EXAMPLE

The first example is K_4 with 4 nodes, thus a(2) = 1.

CROSSREFS

Cf. A005638, A002851, A032355.

Sequence in context: A125184 A236575 A091430 * A114591 A161849 A056175

Adjacent sequences:  A059279 A059280 A059281 * A059283 A059284 A059285

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane, Jan 24 2001

EXTENSIONS

Updated all links. Corrected entries based on the Potočnik et al. table. - N. J. A. Sloane, Apr 19 2014

STATUS

approved

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Last modified September 2 23:10 EDT 2014. Contains 246369 sequences.