V. Taranchuk

activity

20172021

k

-gons in finite projective planes

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.CO2021

A New Family of Algebraically Defined Graphs With Small Automorphism Group

Felix Lazebnik, Vladislav Taranchuk

Let $p$ be an odd prime, $q = p^{e}$ , $e \geq 1$ , and $F = F_{q}$ denote the finite field of $q$ elements. Let $f : F^{2} \to F$ and $g: \mathbb{F}^3\to \ma…

math.CO2021★ 1 cited

On the number of $k$ -gons in finite projective planes

Vladislav Taranchuk

Let $Π$ be a projective plane of order $n$ and $Γ_{Π}$ be its Levi graph (the point-line incidence graph). For fixed $k \geq 3$ , let $c_{2 k} (Γ_{Π})$ denote the number of $2 k$ -cycles in…

math.CO2018

The Anti-Ramsey Problem for the Sidon equation

Vladislav Taranchuk, Craig Timmons

For $n \geq k \geq 4$ , let $A R_{X + Y = Z + T}^{k} (n)$ be the maximum number of rainbow solutions to the Sidon equation $X + Y = Z + T$ over all $k$ -colorings $c : [n] \to [k]$ .…

math.CO2017

A Constructive Lower Bound on Szemerédi's Theorem