Vertex 2-coloring without monochromatic cycles

Michał Karpiński

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arXiv · 1407.7423

Vertex 2-coloring without monochromatic cycles

Michał Karpiński

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Abstract

In this paper we study a problem of vertex two-coloring of undirected graph such that there is no monochromatic cycle of given length. We show that this problem is hard to solve. We give a proof by presenting a reduction from variation of satisfiability (SAT) problem. We show nice properties of coloring cliques with two colors which plays pivotal role in the reduction construction.

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Michał Karpiński. 2014-07-28. Vertex 2-coloring without monochromatic cycles. https://arxiv.org/abs/1407.7423

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