Andreas Holmsen, Large cliques in hypergraphs with forbidden substructures
Room B232 IBS (기초과학연구원)A result due to Gyárfás, Hubenko, and Solymosi, answering a question of Erdős, asserts that if a graph
A result due to Gyárfás, Hubenko, and Solymosi, answering a question of Erdős, asserts that if a graph
The fractional Helly theorem is a simple yet remarkable generalization of Helly's classical theorem on the intersection of convex sets, and it is of considerable interest to extend the fractional Helly theorem beyond the setting of convexity. In this talk I will discuss a recent result which shows that the fractional Helly theorem holds for families …
The notion of convexity spaces provides a purely combinatorial framework for certain problems in discrete geometry. In the last ten years, we have seen some progress on several open problems in the area, and in this talk, I will focus on the recent results relating to Tverberg’s theorem and the Alon-Kleitman (p,q) theorem.
A geometric transversal to a family of convex sets in
Hadwiger's transversal theorem gives necessary and sufficient conditions for the existence of a line transversal to a family of pairwise disjoint convex sets in the plane. These conditions were subsequently generalized to hyperplane transversals in