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arXiv · 1608.03040

Majority Colourings of Digraphs

Stephan Kreutzer·Sang-il Oum·Paul Seymour·Dominic van der Zypen·David R. Wood
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Abstract

We prove that every digraph has a vertex 4-colouring such that for each vertex $v$, at most half the out-neighbours of $v$ receive the same colour as $v$. We then obtain several results related to the conjecture obtained by replacing 4 by 3.

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Stephan Kreutzer, Sang-il Oum, Paul Seymour, Dominic van der Zypen, David R. Wood. 2016-08-10. Majority Colourings of Digraphs. https://doi.org/10.37236/6410

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