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

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dc.creatorKaski, Petteri
dc.creatorÖstergård, Patric R. J.
dc.date2007-12-31
dc.date.accessioned2026-07-07T08:52:00Z
dc.date.available2026-07-07T08:52:00Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0801.0202
dc.identifierhttp://arxiv.org/abs/0801.0202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145135
dc.subjectCombinatorics
dc.subject05C70; 05-04; 68R05
dc.titleThere are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of $K_{14}$
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