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Published in the Proceedings of AWOCA 2004 : fifteenth Australasian Workshop on Combinatorial Algorithms, Ballina Beach Resort, New South Wales, Australia, July 6-9, 2004. .

Abstract

An overfull set of one-factors of K_2n is a set of one-factors that between them cover all the edges of K_2n, but contain no one-factorization of K_2n. We ask how many members such a set can contain, and obtain upper and lower bounds.

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