# The cut norm and the weak* topology for graphons

## Jan Hladký

*Czech Academy of Sciences*

November 3, 2022, 12:20 in S6

## Abstract

The cut norm, introduced by Borgs-Chayes-Lovasz-Sos-Szegedy-Vesztergombi is in the heart of the theory of limits of dense graph sequences a.k.a. graphons. With Dolezal, Grebik, Rocha a Rozhon we looked at the relation between this norm and the weak* topology. This view gives a number of insights including an alternative proof of the celebrated Lovasz-Szegedy compactness theorem for graphons.