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- W2885306425 abstract "A hypergraph $H$ is properly colored if for every vertex $vin V(H)$, all the edges incident to $v$ have distinct colors. In this paper, we show that if $H_{1}$, cdots, $H_{s}$ are properly-colored $k$-uniform hypergraphs on $n$ vertices, where $ngeq3k^{2}s$, and $e(H_{i})>{{n}choose {k}}-{{n-s+1}choose {k}}$, then there exists a rainbow matching of size $s$, containing one edge from each $H_i$. This generalizes some previous results on the ErdH{o}s Matching Conjecture." @default.
- W2885306425 created "2018-08-22" @default.
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- W2885306425 date "2018-08-14" @default.
- W2885306425 modified "2023-09-23" @default.
- W2885306425 title "Rainbow matchings in properly-colored hypergraphs" @default.
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- W2885306425 doi "https://doi.org/10.48550/arxiv.1808.04954" @default.
- W2885306425 hasPublicationYear "2018" @default.
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