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Cyclic \(m\)-cycle systems of complete graphs minus a 1-factor. (English) Zbl 1375.05151

Summary: In this paper, we provide necessary and sufficient conditions for the existence of a cyclic \(m\)-cycle system of \(K_n-I\) when \(m\) and \(n\) are even and \(m\mid n\).

MSC:

05C38 Paths and cycles