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arXiv · 1312.6329

Total weight choosability in Hypergraphs

Florian Pfender
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Abstract

A total weighting of the vertices and edges of a hypergraph is called vertex-coloring if the total weights of the vertices yield a proper coloring of the graph, i.e., every edge contains at least two vertices with different weighted degrees. In this note we show that such a weighting is possible if every vertex has two, and every edge has three weights to choose from, extending a recent result on graphs to hypergraphs.

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Florian Pfender. 2013-12-22. Total weight choosability in Hypergraphs. https://arxiv.org/abs/1312.6329

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