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A014384 Number of connected regular graphs of degree 11 with 2n nodes. +0
11
1, 13, 8037796 (list; graph; listen)
OFFSET

6,2

COMMENT

Since the 11-regular graph with the least number of vertices is K_12, there are no disconnected 11-regular graphs with less than 24 vertices. Thus for n<24 this sequence also counts the number of all 11-regular graphs on 2n vertices. [From Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Sep 25 2009]

REFERENCES

CRC Handbook of Combinatorial Designs, 1996, p. 648.

I. A. Faradzev, Constructive enumeration of combinatorial objects, pp. 131-135 of Probl\`{e}mes combinatoires et th\'{e}orie des graphes (Orsay, 9-13 Juillet 1976). Colloq. Internat. du C.N.R.S., No. 260, Centre Nat. Recherche Scient., Paris, 1978.

LINKS

M. Meringer, Tables of Regular Graphs

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

CROSSREFS

Connected regular graphs of degree k: A002851 (k=3), A006820 (k=4), A006821 (k=5), A006822 (k=6), A014377 (k=7), A014378 (k=8), A014381 (k=9), A014382 (k=10), A014384 (k=11).

Sequence in context: A055313 A128669 A013866 this_sequence A034248 A158750 A145744

Adjacent sequences: A014381 A014382 A014383 this_sequence A014385 A014386 A014387

KEYWORD

nonn,bref,hard,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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