David Covert

most citedLong paths in the distance graph over large subsets of vector spaces over finite fields

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2014★ 2 cited

Long paths in the distance graph over large subsets of vector spaces over finite fields

M. Bennett, J. Chapman, D. Covert +3

Let $E \subset F_{q}^{d}$ , the $d$ -dimensional vector space over a finite field with $q$ elements. Construct a graph, called the distance graph of $E$ , by letting the vertices b…

math.CO2014★ 1 cited

On the sums of any k points in finite fields

David Covert, Doowon Koh, Youngjin Pi

For a set $E \subset F_{q}^{d}$ , we define the $k$ -resultant magnitude set as $ Δ_k(E) =\{\|\textbf{x}_1 + \dots + \textbf{x}_k\|\in \mathbb F_q: \textbf{x}_1, \dots, \textbf{x}…

math.CO2010

A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries

David Covert, Derrick Hart, Alex Iosevich +2

We show that if $E \subset F_{q}^{d}$ , the $d$ -dimensional vector space over the finite field with $q$ elements, and $∣ E ∣ \geq ρ q^{d}$ , where $q^{- \frac{1}{2}} ≪ ρ \leq 1$ , the…