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A note on the colorful fractional Helly theorem

Research paper by Minki Kim

Indexed on: 20 Nov '15Published on: 20 Nov '15Published in: Mathematics - Combinatorics



Abstract

Helly's theorem is a classical result concerning the intersection patterns of convex sets in $\mathbb{R}^d$. Two important generalizations are the colorful version and the fractional version. Recently, B\'{a}r\'{a}ny et al. combined the two, obtaining a colorful fractional Helly theorem. In this paper, we give an improved version of their result.