A Small Embedding for Partial 4-Cycle Systems when the Leave is Small

TL;DRAbstract

In this paper we give an embedding for odd n which improves the best known bound when the "leave" is small. In particular, we prove that a partial 4-cycle system of odd order $n$ with leave consisting of $x$ edges can be embedded in a 4-cycle system of order $n +2x$.

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