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Overfull Sets of One-Factors

W. D. Wallis1
1Southern Illinois University Carbondale, [linois, USA 62901-4408

Abstract

We define an overfull set of one-factors of K2n to be a set of one-factors that between them cover all the edges of K2n, but contain no one-factorization of K2n. We address the question: how many members can such a set contain?