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arXiv · 1202.1896

The black-and-white coloring problem on circle graphs

Ton Kloks·Sheung-Hung Poon·Yue-Li Wang
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Abstract

Given a graph G and integers b and w. The black-and-white coloring problem asks if there exist disjoint sets of vertices B and W with |B|=b and |W|=w such that no two vertices x in B and y in W are adjacent. In this paper we show that the problem is polynomial when restricted to permutation graphs and, more generally, to circle graphs.

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Ton Kloks, Sheung-Hung Poon, Yue-Li Wang. 2012-02-09. The black-and-white coloring problem on circle graphs. https://arxiv.org/abs/1202.1896

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