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Coloring translates and homothets of a convex body

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 $\RR^n$.

preprint2010arXivOpen access
Adrian DumitrescuMinghui Jiang
math.MGDiscrete MathematicsComputational Geometry
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Adrian DumitrescuMinghui Jiang

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