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A120488 Number of nonisomorphic perfect 1-factorizations of complete graph K_{2n}. +0
2
1, 1, 1, 1, 1, 5, 23 (list; graph; listen)
OFFSET

1,6

REFERENCES

CRC Handbook Combin. Designs, p. 664.

Dinitz, Jeffrey H. and Garnick, David K.; There are 23 Nonisomorphic Perfect One-Factorizations of K_{14}, J. Combin. Des. 4 (1996), no. 1, 1-3.

Barbara M. Maenhaut, Perfect 1-factorizations of complete and complete bipartite graphs, talk given at 31st Australasian Conf. Combin. Math and Combin. Computing, Alice Springs, 2006

Petrenyuk, L. and Petrenyuk, A.; Intersection of Perfect One-Factorizations of Complete Graphs, Cybernetics 16 (1980), 6-9.

Wallis, W. D.; 1-Factorizations of complete graphs, pp. 593-631 in J. H. Dinitz and D R. Stinson, Contemporary Design Theory, Wiley, 1992.

LINKS

Wallis, W. D.; One-factorization of a graph, in Encyclopaedia of Mathematics (ed. Hazewinkel, Michiel), Springer-Verlag, 2002.

CROSSREFS

Cf. A000438, A000474, A120489.

Sequence in context: A066865 A005632 A002069 this_sequence A054415 A078190 A081319

Adjacent sequences: A120485 A120486 A120487 this_sequence A120489 A120490 A120491

KEYWORD

nonn,more

AUTHOR

njas, Jul 22 2006

EXTENSIONS

Additional references from David Garnick (dgarnick(AT)gmail.com), Jan 17 2007

Edited by njas at the suggestion of Ian Wanless, Apr 01 2008

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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