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math.CO2005★ 1 cited
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…
math.CO2005
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…
math.CO2004
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…