Coloring intersection graphs of x-monotone curves in the plane
Combinatorics
2013-08-27 v2 Computational Geometry
Abstract
A class of graphs G is chi-bounded if the chromatic number of the graphs in G is bounded by some function of their clique number. We show that the class of intersection graphs of simple x-monotone curves in the plane intersecting a vertical line is chi-bounded. As a corollary we show that the class of intersection graphs of rays in the plane is chi-bounded, and the class of intersection graphs of unit segments in the plane is chi-bounded
Keywords
Cite
@article{arxiv.1201.0887,
title = {Coloring intersection graphs of x-monotone curves in the plane},
author = {Andrew Suk},
journal= {arXiv preprint arXiv:1201.0887},
year = {2013}
}