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arXiv · 1808.03888

A note on hypergraph colorings

Yandong Bai
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Abstract

Let $t\geqslant 2$ and $s\geqslant 1$ be two integers. Define a $(t,s)$-coloring of a hypergraph to be a coloring of its vertices using $t$ colors such that each color appears on each edge at least $s$ times. In this note, we provide a sufficient condition for the existence of a $(t,s)$-coloring of a hypergraph by using the symmetric lopsided version of Lovász Local Lemma. Our result generalizes several known results on hypergraph colorings.

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Yandong Bai. 2018-08-12. A note on hypergraph colorings. https://arxiv.org/abs/1808.03888

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