Hypergraphs with minimum positive uniform Turán density

Ander Lamaison (Masaryk University)

08-Nov-2021, 14:00-15:00 (2 years ago)

Abstract: Reiher, Rödl and Schacht showed that the uniform Turán density of every 3-uniform hypergraph is either 0 or at least 1/27, and asked whether there exist 3-uniform hypergraphs with uniform Turán density equal or arbitrarily close to 1/27. We construct 3-uniform hypergraphs with uniform Turán density equal to 1/27. This is based on joint work with Frederik Garbe and Daniel Kráľ.

combinatoricsprobability

Audience: researchers in the topic


Extremal and probabilistic combinatorics webinar

Series comments: We've added a password: concatenate the 6 first prime numbers (hence obtaining an 8-digit password).

Organizers: Jan Hladky*, Diana Piguet, Jan Volec*, Liana Yepremyan
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