Abstract

AbstractFor a hypergraph G and a positive integer s, let be the minimum value of l such that G is L‐colorable from every list L with for each and for all . This parameter was studied by Kratochvíl, Tuza, and Voigt for various kinds of graphs. Using randomized constructions we find the asymptotics of for balanced complete multipartite graphs and for complete k‐partite k‐uniform hypergraphs.

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