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Perfect one-factorizations of K1332 and K6860

✍ Scribed by Midori Kobayashi; Kiyasu-Zen'iti


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
87 KB
Volume
51
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES


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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.

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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.

One-factors and k-factors
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Let G be a graph with a l-factor F and of order at least four. Let k be a positive integer. If G -{x, y} has a k-factor for each xy E F