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arXiv · 1711.02916

Rainbow matchings in Dirac bipartite graphs

Matthew Coulson·Guillem Perarnau
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Abstract

We show the existence of rainbow perfect matchings in $μn$-bounded edge colourings of Dirac bipartite graphs, for a sufficiently small $μ>0$. As an application of our results, we obtain several results on the existence of rainbow $k$-factors in Dirac graphs and rainbow spanning subgraphs of bounded maximum degree on graphs with large minimum degree.

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Matthew Coulson, Guillem Perarnau. 2017-12-14. Rainbow matchings in Dirac bipartite graphs. https://arxiv.org/abs/1711.02916

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