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arxiv: 1008.1360 · v1 · submitted 2010-08-07 · 💻 cs.DM · cs.CG· math.MG

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Coloring translates and homothets of a convex body

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classification 💻 cs.DM cs.CGmath.MG
keywords bodyboundsconvexhomothetsnumbertranslateschromaticclique
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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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