research
∙
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...
share
research
∙
07/03/2022
Conflict-Free Colouring of Subsets
We introduce and study conflict-free colourings of t-subsets in hypergra...
research
∙
12/09/2021
A solution to Ringel's circle problem
We construct families of circles in the plane such that their tangency g...
research
∙
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...
research
∙
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...
research
∙
08/09/2020
Consistent High Dimensional Rounding with Side Information
In standard rounding, we want to map each value X in a large continuous ...
research
∙
03/16/2020
The ε-t-Net Problem
We study a natural generalization of the classical ϵ-net problem (Haussl...
research
∙
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 ...
research
∙
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...
research
∙
12/31/2017
