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arXiv · 1612.07276

Splitting $B_2$-VPG graphs into outer-string and co-comparability graphs

Martin Derka·Therese Biedl
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Abstract

In this paper, we show that any $B_2$-VPG graph (i.e., an intersection graph of orthogonal curves with at most 2 bends) can be decomposed into $O(\log n)$ outerstring graphs or $O(\log^3 n)$ permutation graphs. This leads to better approximation algorithms for hereditary graph problems, such as independent set, clique and clique cover, on $B_2$-VPG graphs.

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Martin Derka, Therese Biedl. 2016-12-21. Splitting $B_2$-VPG graphs into outer-string and co-comparability graphs. https://arxiv.org/abs/1612.07276

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