1 citations · 1 across the 4 of their papers we have counts for
4 papers
Incidence theorems for pseudoflats
Izabella Laba, Jozsef Solymosi
We prove Pach-Sharir type incidence theorems for a class of curves in R^n and surfaces in R^3, which we call pseudoflats. In particular, our results apply to a wide class of generi…
Dense arrangements are locally very dense I
Jozsef Solymosi
The Szemerédi-Trotter theorem gives a bound on the maximum number of incidences between points and lines on the Euclidean plane. In particular it says that lines and points…
Arithmetic progressions in sets with small sumsets
Jozsef Solymosi
We present an elementary proof that if is a finite set of numbers, and the sumset is small, , along a dense graph , then contains -term arit…
Collinear Points in Permutations
J. Cooper, J. Solymosi
Consider the following problem: how many collinear triples of points must a transversal of (Z/nZ)^2 have? This question is connected with venerable issues in discrete geometry. We…