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There are 23 nonisomorphic perfect one-factorizations of K14

✍ Scribed by Jeffrey H. Dinitz; David K. Garnick

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
181 KB
Volume
4
Category
Article
ISSN
1063-8539

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✦ Synopsis

Using an orderly algorithm we established that there are exactly 23 nonisomorphic perfect one-factorizations of K14. Seah and Stinson (Ann. Discrete Math. 34 (1987), 419-436) had previously found 21 perfect one-factorizations of K I A with nontrivial automorphism group.

📜 SIMILAR VOLUMES

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There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations of K14
✍ Petteri Kaski; Patric R. J. Östergård 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

## 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 non

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We enumerate the nonisomorphic and the distinct one-factorizations of K l z . We also describe the algorithm used to obtain the result, and the methols we used to verify these numbers.