Department of

Mathematics


Seminar Calendar
for events the day of Thursday, January 9, 2014.

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Thursday, January 9, 2014

3:00 pm in 243 Altgeld Hall,Thursday, January 9, 2014

Infinite dimensional finitely forcible graphon

Tereza Klimosova   [email] (University of Warwick)

Abstract: Graphons are analytic objects associated with convergent sequences of graphs. Problems from extremal combinatorics and theoretical computer science led to a study of graphons determined by finitely many subgraph densities, which are referred to as finitely forcible. We show that there exists a finitely forcible graphon such that the topological space of its typical points has infinite Lebesgue covering dimension, disproving the conjecture by Lovasz and Szegedy. The talk is based on joint work with Roman Glebov and Daniel Kral.