Alex Kodess

activity

20182026

most citedClassification by girth of three-dimensional algebraically defined monomial graphs over the real numbers

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

collaborators

4 papers

math.CO2026

Isomorphism Criterion of Monomial Digraphs over Prime Fields

Alexander M. Kodess, Felix Lazebnik, Mikhail Muzychuk

For any Galois field $F_{q}$ with $q$ elements and any positive integers $m$ and $n$ , the directed graph $D (q; m, n)$ has vertex set $F_{q} \times F_{q}$ , and ther…

math.CO2021★ 3 cited

Classification by girth of three-dimensional algebraically defined monomial graphs over the real numbers

Alex Kodess, Brian G. Kronenthal, Diego Manzano-Ruiz +1

For positive integers $s, t, u, v$ , we define a bipartite graph $Γ_{R} (X^{s} Y^{t}, X^{u} Y^{v})$ where each partite set is a copy of $R^{3}$ , and a vertex $(a_{1}, a_{2}, a_{3})$ in t…

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

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…