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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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03/16/2020
The ε-t-Net Problem
We study a natural generalization of the classical ϵ-net problem (Haussl...
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07/02/2019
On the VC-dimension of convex sets and half-spaces
A family S of convex sets in the plane defines a hypergraph H = (S,E) as...
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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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09/08/2017