3 papers
math.CO2025
Orientation of good covers
Péter Ãgoston, Gábor Damásdi, Balázs Keszegh +1
We study systems of orientations on triples that satisfy the following so-called interiority condition: impl…
math.CO2025
A lower bound on the number of colours needed to nicely colour a sphere
Péter Ãgoston
The Hadwiger--Nelson problem is about determining the chromatic number of the plane (CNP), defined as the minimum number of colours needed to colour the plane so that no two points…
math.CO2024
Orientation of convex sets
Péter Ãgoston, Gábor Damásdi, Balázs Keszegh +1
We introduce a novel definition of orientation on the triples of a family of pairwise intersecting planar convex sets and study its properties. In particular, we compare it to othe…