9 citations · 18 across the 8 of their papers we have counts for
4 papers · 1 filter
Two extensions of the Erdős-Szekeres problem
Andreas F. Holmsen, Hossein Nassajian Mojarrad, János Pach +1
According to Suk's breakthrough result on the Erdos-Szekeres problem, any point set in general position in the plane, which has no elements that form the vertex set of a convex…
Four-variable expanders over the prime fields
Doowon Koh, Hossein Nassajian Mojarrad, Thang Pham +1
Let be a prime field of order , and be a set in with very small size in terms of . In this note, we show that the number of distinct cubic…
Conditional expanding bounds for two-variable functions over arbitrary fields
Hossein Nassajian Mojarrad, Thang Pham
In this short note, we use Rudnev's point-plane incidence bound to improve some results on conditional expanding bounds for two-variable functions over arbitrary fields due to Hegy…
On the Existence of Ordinary Triangles
Radoslav Fulek, Hossein Nassajian Mojarrad, Márton Naszódi +3
Let be a finite point set in the plane. A \emph{-ordinary triangle} in is a subset of consisting of three non-collinear points such that each of the three lines dete…