3 papers
math.CO2023
Simplicial Turán problems
David Conlon, Simón Piga, Bjarne Schülke
A simplicial complex consists of a pair of sets where is a set of vertices and is a collection of subsets of closed under taking subs…
math.CO2020
On extremal problems concerning the traces of sets
Simón Piga, Bjarne Schülke
Given two non-negative integers and , define to be the maximal number such that in every hypergraph on vertices and with at most edges t…
math.CO2020
Covering -edge-coloured random graphs with monochromatic trees
Yoshiharu Kohayakawa, Walner Mendonça, Guilherme Oliveira Mota +1
We investigate the problem of determining how many monochromatic trees are necessary to cover the vertices of an edge-coloured random graph. More precisely, we show that for $p\gg…