A perfect one-factorization for K36
✍ Scribed by E. Seah; D.R. Stinson
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 435 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0012-365X
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## Abstract A starter derived even starter that induces a perfect one‐factorization of __K__~52~ is presented. This is the smallest order for which a perfect one‐factorization was not previously known and is the first new “small” order for which a perfect one‐factorization has been found in nearly
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.