Extremal problems for colorings of simple hypergraphs and applications

Abstract

The paper deals with extremal problems concerning colorings of hypergraphs. By using a random recoloring algorithm we show that any n-uniform simple hypergraph H with maximum edge degree at most Δ(H) ≤ c ·nrn−1, is r-colorable, where c > 0 is an absolute constant. As an application of our proof technique we establish a new lower bound for the Van der… (More)
DOI: 10.1016/j.endm.2015.06.062

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