A note on the colorful fractional Helly theorem

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Helly's theorem is a classical result concerning the intersection patterns of convex sets in R-d. Two important generalizations are the colorful version and the fractional version. Recently, Barany et al. combined the two, obtaining a colorful fractional Helly theorem. In this paper, we give an improved version of their result. (C) 2016 Elsevier B.V. All rights reserved
Publisher
ELSEVIER SCIENCE BV
Issue Date
2017-01
Language
English
Article Type
Article
Keywords

HADWIGER-DEBRUNNER (P; CONVEX-BODIES; Q)-PROBLEM; GEOMETRY; SETS

Citation

DISCRETE MATHEMATICS, v.340, no.1, pp.3167 - 3170

ISSN
0012-365X
DOI
10.1016/j.disc.2016.07.001
URI
http://hdl.handle.net/10203/214807
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