Abstract
Recall that a one-factorization is called perfect if it contains no two-division; in other words, the union of any two factors is a Hamilton cycle. Perfect one-factorizations exist for many orders, and we know of no order n (greater than 1) for which no perfect one-factorization of K 2n , exists, but the existence question is not yet settled.
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© 1997 Springer Science+Business Media Dordrecht
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Wallis, W.D. (1997). Perfect Factorizations. In: One-Factorizations. Mathematics and Its Applications, vol 390. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2564-3_16
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DOI: https://doi.org/10.1007/978-1-4757-2564-3_16
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