A120488 Number of nonisomorphic perfect 1-factorizations of complete graph K_{2n}.
1, 1, 1, 1, 1, 5, 23, 3155
Offset: 1
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.
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