Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A006821
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A006821 Number of connected regular graphs of degree 5 (or quintic graphs) with 2n nodes.
(Formerly M3168)
+0
12
1, 3, 60, 7848, 3459383, 2585136675, 2807105250897 (list; graph; listen)
OFFSET

3,2

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.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

M. Meringer, Fast Generation of Regular Graphs and Construction of Cages. Journal of Graph Theory, 30 (1999), 137-146. [From Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Nov 24 2009]

LINKS

M. Meringer, Tables of Regular Graphs

Eric Weisstein's World of Mathematics, Quintic Graph

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: A081854 A085990 A036770 this_sequence A165626 A120307 A022915

Adjacent sequences: A006818 A006819 A006820 this_sequence A006822 A006823 A006824

KEYWORD

nonn,nice,hard,more,new

AUTHOR

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

EXTENSIONS

By running M. Meringer's GENREG for about 2 processor years on ARCSgrid at UNcle, a(9) was found by Jason Kimberley (Jason.Kimberley(AT)newcastle.edu.au), Nov 24 2009

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


AT&T Labs Research