H. Mojarrad

activity

20142021

most citedOn sets defining few ordinary circles

9 citations · 18 across the 8 of their papers we have counts for

collaborators

9 papers

math.CO2021

On the two-parameter Erdős-Falconer distance problem over finite fields

Clément Francois, Hossein Nassajian Mojarrad, Duc Hiep Pham +1

Given $E \subseteq F_{q}^{d} \times F_{q}^{d}$ , with the finite field $F_{q}$ of order $q$ and the integer $d \geq 2$ , we define the two-parameter distance set as $…

math.CO2017★ 1 cited

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 $n$ elements that form the vertex set of a convex…

math.CO2017

Four-variable expanders over the prime fields

Doowon Koh, Hossein Nassajian Mojarrad, Thang Pham +1

Let $F_{p}$ be a prime field of order $p > 2$ , and $A$ be a set in $F_{p}$ with very small size in terms of $p$ . In this note, we show that the number of distinct cubic…

math.CO2017

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…

math.CO2017

On the Existence of Ordinary Triangles

Radoslav Fulek, Hossein Nassajian Mojarrad, Márton Naszódi +3

Let $P$ be a finite point set in the plane. A \emph{ $c$ -ordinary triangle} in $P$ is a subset of $P$ consisting of three non-collinear points such that each of the three lines dete…

math.CO2016★ 9 cited

On sets defining few ordinary circles

Aaron Lin, Mehdi Makhul, Hossein Nassajian Mojarrad +3

An ordinary circle of a set $P$ of $n$ points in the plane is defined as a circle that contains exactly three points of $P$ . We show that if $P$ is not contained in a line or a cir…