3 papers
math.CO2024
Disjoint pairs in set systems and combinatorics of low rank matrices
Zach Hunter, Aleksa Milojević, Benny Sudakov +1
We study and solve several problems in two closely related settings: set families in with many disjoint pairs of sets and low rank matrices with many zero entries. - More…
math.CO2024
Point-variety incidences, unit distances and Zarankiewicz's problem for algebraic graphs
Aleksa Milojević, Benny Sudakov, István Tomon
In this paper we study the number of incidences between points and varieties in , where is an arbitrary field, assuming the incidence graph conta…
math.CO2024
Incidence bounds via extremal graph theory
Aleksa Milojević, István Tomon, Benny Sudakov
The study of counting point-hyperplane incidences in the -dimensional space was initiated in the 1990's by Chazelle and became one of the central problems in discrete geometry.…