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A006820 Number of connected regular graphs of degree 4 (or quartic graphs) with n nodes.
(Formerly M1617)
+0
17
1, 1, 2, 6, 16, 59, 265, 1544, 10778, 88168, 805491, 8037418, 86221634, 985870522 (list; graph; listen)
OFFSET

5,3

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.

R. C. Read and R. J. Wilson, An Atlas of Graphs, Oxford, 1998.

LINKS

M. Meringer, Tables of Regular Graphs

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

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

CROSSREFS

Cf. A033301, A033483.

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).

Adjacent sequences: A006817 A006818 A006819 this_sequence A006821 A006822 A006823

Sequence in context: A091217 A068787 A073959 this_sequence A131385 A027742 A033301

KEYWORD

nonn,nice,hard

AUTHOR

njas

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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