3 papers
math.CO2022
Conflict-Free Colouring of Subsets
Bruno Jartoux, Chaya Keller, Shakhar Smorodinsky +1
We introduce and study conflict-free colourings of -subsets in hypergraphs. In such colourings, one assigns colours to all subsets of vertices of cardinality such that in an…
math.CO2021
On Multicolour Ramsey Numbers and Subset-Colouring of Hypergraphs
Bruno Jartoux, Chaya Keller, Shakhar Smorodinsky +1
For and , write if every hyperedge colouring with colours of the complete -uniform hypergraph on vertices has a mon…
cs.DM2020
The --Net Problem
Noga Alon, Bruno Jartoux, Chaya Keller +2
We study a natural generalization of the classical -net problem (Haussler--Welzl 1987), which we call the "--net problem": Given a hypergraph on vertices and parameter…