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A126750 Number of 2-connected (or biconnected) graphs on n nodes with chromatic number 2. +0
2
0, 0, 0, 1, 1, 5, 8, 42, 146, 956, 6643, 65921, 818448, 13442572 (list; graph; listen)
OFFSET

1,6

COMMENT

Equally, number of 2-connected (or biconnected) bipartite graphs on n nodes.

Also number of biconnected triangle-free graphs on n nodes with chromatic number 2, since chromatic number 2 implies triangle-free. - Gordon Royle, Apr 11 2007

REFERENCES

C. J. Colbourn and C. Huybrechts, Fully gated graphs,: recognition and convex operations, Discrete Math., 308 (2008), 5184-5195.

LINKS

Keith M. Briggs, Combinatorial Graph Theory

CROSSREFS

A diagonal of triangle in A126749.

Sequence in context: A151349 A073930 A130223 this_sequence A109292 A117474 A165716

Adjacent sequences: A126747 A126748 A126749 this_sequence A126751 A126752 A126753

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Feb 18 200, Oct 01 2008

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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