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math.CO2018
Independent Sets in Algebraic Hypergraphs
Anton Bernshteyn, Michelle Delcourt, Anush Tserunyan
In this paper we study hypergraphs definable in an algebraically closed field. Our goal is to show, in the spirit of the so-called transference principles in extremal combinatorics…
math.CO2018
A short nonalgorithmic proof of the containers theorem for hypergraphs
Anton Bernshteyn, Michelle Delcourt, Henry Towsner +1
Recently the breakthrough method of hypergraph containers, developed independently by Balogh, Morris, and Samotij as well as Saxton and Thomason, has been used to study sparse rand…