English

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

Computational Geometry 2016-12-22 v1 Data Structures and Algorithms

Abstract

In this paper, we show that any B2B_2-VPG graph (i.e., an intersection graph of orthogonal curves with at most 2 bends) can be decomposed into O(logn)O(\log n) outerstring graphs or O(log3n)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 B2B_2-VPG graphs.

Keywords

Cite

@article{arxiv.1612.07276,
  title  = {Splitting $B_2$-VPG graphs into outer-string and co-comparability graphs},
  author = {Martin Derka and Therese Biedl},
  journal= {arXiv preprint arXiv:1612.07276},
  year   = {2016}
}
R2 v1 2026-06-22T17:31:23.047Z