V. Taranchuk

activity

20162026

most citedA New Lower Bound for van der Waerden Numbers

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

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Showing 2021Show all

2 papers · 1 filter

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…

A New Family of Algebraically Defined Graphs With Small Automorphism Group

On the number of k-gons in finite projective planes

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