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math.CO2021★ 1 cited
Quasirandomness in additive groups and hypergraphs
Davi Castro-Silva
Quasirandomness is a general mathematical concept meant to encapsulate several characteristics usually satisfied by random combinatorial objects, and which we regard as describing…
math.CO2021★ 1 cited
A recursive Lovász theta number for simplex-avoiding sets
Davi Castro-Silva, Fernando Mário de Oliveira Filho, Lucas Slot +1
We recursively extend the Lovász theta number to geometric hypergraphs on the unit sphere and on Euclidean space, obtaining an upper bound for the independence ratio of these hyper…
math.CO2021
Geometrical sets with forbidden configurations
Davi Castro-Silva
Given finite configurations , let us denote by the maximum density a set $A \subseteq \mathbb{R}^…