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arXiv · 1008.1360

Coloring translates and homothets of a convex body

Adrian Dumitrescu·Minghui Jiang
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Abstract

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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Adrian Dumitrescu, Minghui Jiang. 2010-08-07. Coloring translates and homothets of a convex body. https://arxiv.org/abs/1008.1360

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