There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of $K_{14}$

Details There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of $K_{14}$ There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of $K_{14}$

2007-12-31

arxiv.org/abs/0801.0202v1

Mathematics

Combinatorics

Scientific paper

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.

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