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06/03/2023
An (ℵ_0,k+2)-Theorem for k-Transversals
A family ℱ of sets satisfies the (p,q)-property if among every p members...
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07/03/2022
Conflict-Free Colouring of Subsets
We introduce and study conflict-free colourings of t-subsets in hypergra...
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12/09/2021
A solution to Ringel's circle problem
We construct families of circles in the plane such that their tangency g...
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02/23/2021
On the number of hyperedges in the hypergraph of lines and pseudo-discs
Consider the hypergraph whose vertex set is a family of n lines in gener...
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12/10/2020
No Krasnoselskii number for general sets in ℝ^2
For a family ℱ of sets in ℝ^d, the Krasnoselskii number of ℱ is the smal...
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08/09/2020
Consistent High Dimensional Rounding with Side Information
In standard rounding, we want to map each value X in a large continuous ...
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03/16/2020
The ε-t-Net Problem
We study a natural generalization of the classical ϵ-net problem (Haussl...
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08/18/2019
On sets of n points in general position that determine lines that can be pierced by n points
Let P be a set of n points in general position in the plane. Let R be a ...
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09/17/2018
A new lower bound on Hadwiger-Debrunner numbers in the plane
A set family F is said to satisfy the (p,q) property if among any p sets...
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12/31/2017