19 citations · 131 across the 42 of their papers we have counts for
56 papers
Wickets in 3-uniform Hypergraphs
Jozsef Solymosi
In these notes, we consider a Turán-type problem in hypergraphs. What is the maximum number of edges if we forbid a subgraph? Let be a 3-uniform linear hypergraph, i.e.…
Additive structure in convex translates
Gabriel Currier, Jozsef Solymosi, Ethan Patrick White
Let be a set of points in the plane, and a strictly convex set of points. In this note, we show that if contains many translates of $\math…
Improved Elekes-Szabó type estimates using proximity
Jozsef Solymosi, Joshua Zahl
We prove a new Elekes-Szabó type estimate on the size of the intersection of a Cartesian product with an algebraic surface over the reals. In particul…
Arrangements of translates of a curve
Jozsef Solymosi, Endre Szabó
We show that there are five types of planar curves such that arrangements of its translates are combinatorially equivalent to an arrangement of lines. These curves can be used to d…
On the structure of pointsets with many collinear triples
Jozsef Solymosi
It is conjectured that if a finite set of points in the plane contains many collinear triples then there is some structure in the set. We are going to show that under some combinat…
Rank of matrices with entries from a multiplicative group
Noga Alon, Jozsef Solymosi
We establish lower bounds on the rank of matrices in which all but the diagonal entries lie in a multiplicative group of small rank. Applying these bounds we show that the distance…