A Combinatorial Property of Points and Balls, a Colored Version

13 years 10 months ago

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Any ﬁnite set X ⊂ Rd colored with d+3 2 colors, contains a rainbow subset Y ⊂ X, such that any ball that contains Y contains a positive fraction of the points of X. The bound on the number of colors is tight.

Maria N. Prodromou

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Added	13 Dec 2010
Updated	13 Dec 2010
Type	Journal
Year	2007
Where	DCG
Authors	Maria N. Prodromou

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A Combinatorial Property of Points and Balls, a Colored Version

Ball | DCG 2007 | Rainbow |

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