Coloring intersection graphs of x-monotone curves in the plane

Details Coloring intersection graphs of x-monotone curves in the plane Coloring intersection graphs of x-monotone curves in the plane

2012-01-04

arxiv.org/abs/1201.0887v1

Mathematics

Combinatorics

Scientific paper

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, the class of intersection graphs
of rays in the plane is \chi-bounded.

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