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A120488
Number of nonisomorphic perfect 1-factorizations of complete graph K_{2n}.
1
1, 1, 1, 1, 1, 5, 23, 3155
OFFSET
1,6
REFERENCES
CRC Handbook Combin. Designs, p. 664.
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
Jeffrey H. Dinitz and David K. Garnick, There are 23 Nonisomorphic Perfect One-Factorizations of K_{14}, J. Combin. Des. 4 (1996), no. 1, 1-3.
Wallis, W. D.; One-factorization of a graph, in Encyclopaedia of Mathematics (ed. Hazewinkel, Michiel), Springer-Verlag, 2002.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Jul 22 2006
EXTENSIONS
Additional references from David Garnick (dgarnick(AT)gmail.com), Jan 17 2007
Edited by N. J. A. Sloane at the suggestion of Ian Wanless, Apr 01 2008
a(8) from Ian Wanless, Oct 20 2019
STATUS
approved