Coloring intersection graphs of x-monotone curves in the plane
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493_2014_Article_2942.pdf
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606.77 KB
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Author(s)
Suk, Andrew
Date Issued
June 2014
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00493-014-2942-5
