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arxiv: 1508.00645 · v1 · pith:DOXCT2DWnew · submitted 2015-08-04 · 🧮 math.CO

Decompositions of complete multigraphs into cycles of varying lengths

classification 🧮 math.CO
keywords cycleslengthscompleteedge-disjointspecifiedconditionsdecompositiondecompositions
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We establish necessary and sufficient conditions for the existence of a decomposition of a complete multigraph into edge-disjoint cycles of specified lengths, or into edge-disjoint cycles of specified lengths and a perfect matching.

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