2 papers
cs.CG2026
Helly-type problems from a topological perspective
Pavel Paták, Zuzana Patáková
We discuss recent progress on topological Helly-type theorems and their variants. We provide an overview of two different proof techniques, one based on the nerve lemma, while the…
math.CO2024
The fractional Helly number for separable convexity spaces
Andreas F. Holmsen, Zuzana Patáková
A convex lattice set in is the intersection of a convex set in with the integer lattice . A classical theorem of Doignon states that the…