Abstract
We describe a method which, in certain circumstances, may be used to prove that the well-known necessary conditions for partitioning the edge set of the complete graph on an odd number of vertices (or the complete graph on an even number of vertices with a 1-factor removed) into cycles of lengths m 1, m 2,…, m t are sufficient in the case |{m 1,m 2,…,m t}| = 2 . The method is used to settle the case where the cycle lengths are 4 and 5.
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