Coloring intersection graphs of x-monotone curves in the plane

Author(s)
Suk, Andrew
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Abstract
A class of graphs G is χ-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 families of x-monotone curves in the plane intersecting a vertical line is χ-bounded. As a corollary, we show that the class of intersection graphs of rays in the plane is χ-bounded, and the class of intersection graphs of unit segments in the plane is χ-bounded.
Date issued
2014-06
URI
http://hdl.handle.net/1721.1/104885
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Combinatorica
Publisher
Springer-Verlag
Citation
Suk, Andrew. "Coloring intersection graphs of x-monotone curves in the plane." Combinatorica 34:4 (August 2014), pp. 487-505.
Version: Author's final manuscript
ISSN
0209-9683
1439-6912
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