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- W2937284973 abstract "The paper deals with weak chromatic numbers of random hypergraphs. Recall that a vertex coloring is said to be j-proper for a hypergraph if every j+1 vertices of any edge do not share a common color. The j-chromatic number of a hypergraph is the minimum number of colors required for a j-proper coloring. We study the j-chromatic number of a random hypergraph in the binomial model H(n,k,p) in the case j=k−2 and investigate, for fixed r, the threshold for the property that (k−2)-chromatic number of H(n,k,p) does not exceed r. This threshold corresponds to the sparse case, when p=cn∕nk for a fixed parameter c>0 and the main result gives the tight bounds for it." @default.
- W2937284973 created "2019-04-25" @default.
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- W2937284973 date "2020-04-01" @default.
- W2937284973 modified "2023-09-25" @default.
- W2937284973 title "On the weak chromatic number of random hypergraphs" @default.
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- W2937284973 doi "https://doi.org/10.1016/j.dam.2019.03.025" @default.
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