Cyclic $m$-cycle systems of complete graphs minus a 1-factor

Heather Jordon; Joy Morris

arxiv: 1511.04409 · v1 · pith:D7JE75HVnew · submitted 2015-11-13 · 🧮 math.CO

Cyclic m-cycle systems of complete graphs minus a 1-factor

Heather Jordon , Joy Morris This is my paper

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keywords cyclecycliccompleteconditionsevenexistencefactorgraphs

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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 $m \mid n$.

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Cyclic m-cycle systems of complete graphs minus a 1-factor

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