
Sergey Norin, Asymptotic dimension of intersection graphs
July 1 Tuesday @ 4:30 PM - 5:30 PM KST
Room B332,
IBS (기초과학연구원)
The notion of asymptotic dimension of metric spaces, introduced by Gromov, describes their large-scale behaviour. Asymptotic dimension of graph families has been recently studied, in particular, by Bonamy et al. who proved that the asymptotic dimension of proper minor-closed graph families is at most two.
We will discuss nerve-type theorems for asymptotic dimension. In particular, we show that the asymptotic dimension of intersection graphs of balls and spheres in
Based on joint work with Zdeněk Dvořák and with Chun-Hung Liu.