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03/16/2021
A Stepping-Up Lemma for Topological Set Systems
Intersection patterns of convex sets in ℝ^d have the remarkable property...
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03/18/2020
Convex Hulls of Random Order Types
We establish the following two main results on order types of points in ...
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03/07/2019
An Experimental Study of Forbidden Patterns in Geometric Permutations by Combinatorial Lifting
We study the problem of deciding if a given triple of permutations can b...
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12/20/2018
On Order Types of Random Point Sets
Let P be a set of n random points chosen uniformly in the unit square. I...
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03/16/2018
Consistent sets of lines with no colorful incidence
We consider incidences among colored sets of lines in R^d and examine wh...
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11/22/2017