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There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of K14

✍ Scribed by Petteri Kaski; Patric R. J. Östergård

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 130 KB
Volume: 17
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20188

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We establish by means of a computer search that a complete graph on 14 vertices has 98,758,655,816,833,727,741,338,583,040 distinct and 1,132,835,421,602,062,347 nonisomorphic one‐factorizations. The enumeration is constructive for the 10,305,262,573 isomorphism classes that admit a nontrivial automorphism. © 2008 Wiley Periodicals, Inc. J Combin Designs 17: 147–159, 2009

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