F. Lazebnik

activity

20172022

most citedSpectral and Combinatorial Properties of Some Algebraically Defined Graphs

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

collaborators

7 papers

math.CO2022

On Pappus Configurations in Hall Planes

Felix Lazebnik, Lorinda Leshock

As the finite Hall planes are Non-Desarguesian, the Pappus Theorem does not hold in them. In this paper we state and prove some weaker versions of Pappus's Theorem in Hall planes.

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.CO2019

A result on polynomials derived via graph theory

Robert S. Coulter, Stefaan De Winter, Alex Kodess +1

We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed…

math.CO2018

A Note on the Isomorphism Problem for Monomial Digraphs

Alex Kodess, Felix Lazebnik

Let $p$ be a prime $e$ be a positive integer, $q = p^{e}$ , and let $F_{q}$ denote the finite field of $q$ elements. Let $m, n$ , $1 \leq m, n \leq q - 1$ , be integers. The monomial dig…

math.CO2018

Diameter of Some Monomial Digraphs

Alex Kodess, Felix Lazebnik, Stephen Smith +1

Let $p$ be a prime, $e$ a positive integer, $q = p^{e}$ , and let $F_{q}$ denote the finite field of $q$ elements. Let $f_{i} : F_{q}^{2} \to F_{q}$ be arbitrary functi…

math.CO2018

Connectivity of some Algebraically Defined Digraphs

Alex Kodess, Felix Lazebnik

Let $p$ be a prime, $e$ a positive integer, $q = p^{e}$ , and let $F_{q}$ denote the finite field of $q$ elements. Let $f_{i} : F_{q}^{2} \to F_{q}$ be arbitrary functi…