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- W2896903786 abstract "The existence of a rainbow matching given a minimum color degree, proper coloring, or triangle-free host graph has been studied extensively. This paper, generalizes these problems to edge colored graphs with given total color degree. In particular, we find that if a graph $G$ has total color degree $2mn$ and satisfies some other properties, then $G$ contains a matching of size $m$; These other properties include $G$ being triangle-free, $C_4$-free, properly colored, or large enough." @default.
- W2896903786 created "2018-10-26" @default.
- W2896903786 creator A5001988153 @default.
- W2896903786 date "2018-10-12" @default.
- W2896903786 modified "2023-09-27" @default.
- W2896903786 title "Rainbow matchings of size $m$ in graphs with total color degree at least $2mn$" @default.
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