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A120488 Number of nonisomorphic perfect 1-factorizations of complete graph K_{2n}. 1
1, 1, 1, 1, 1, 5, 23 (list; graph; refs; listen; history; internal format)
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: A005632 A183408 A002069 * A054415 A156328 A078190

Adjacent sequences:  A120485 A120486 A120487 * A120489 A120490 A120491

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jul 22 2006

EXTENSIONS

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

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Ian Wanless, Apr 01 2008

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Last modified February 14 17:27 EST 2012. Contains 205644 sequences.