Coloring translates and homothets of a convex body

Details Coloring translates and homothets of a convex body Coloring translates and homothets of a convex body

2010-08-07

arxiv.org/abs/1008.1360v1

Computer Science

Discrete Mathematics

11 pages, 2 figures

Scientific paper

We obtain improved upper bounds and new lower bounds on the chromatic number
as a linear function of the clique number, for the intersection graphs (and
their complements) of finite families of translates and homothets of a convex
body in $\RR^n$.

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