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04/26/2021
Stronger Bounds for Weak Epsilon-Nets in Higher Dimensions
Given a finite point set P in ℝ^d, and ϵ>0 we say that N⊆ℝ^d is a weak ϵ...
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04/18/2019
Planar Point Sets Determine Many Pairwise Crossing Segments
We show that any set of n points in general position in the plane determ...
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08/08/2018
An Improved Bound for Weak Epsilon-Nets in the Plane
We show that for any finite set P of points in the plane and ϵ>0 there e...
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03/16/2018
Further Consequences of the Colorful Helly Hypothesis
Let F be a family of convex sets in R^d, which are colored with d+1 col...
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08/07/2017