M. Muzychuk

activity

20052026

most citedUniformity in association schemes and coherent configurations: cometric Q-antipodal schemes and linked systems

40 citations · 99 across the 23 of their papers we have counts for

collaborators

27 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.CO2022

Fusions of tensor powers of Johnson schemes

Sean Eberhard, Mikhail Muzychuk

This paper is a follow-up to (arXiv:2203.03687), in which the first author studied primitive association schemes lying between a tensor power $T_{m}^{d}$ of the trivial assoc…

math.CO2022

CI-property of $C_{p}^{2} \times C_{n}$ and $C_{p}^{2} \times C_{q}^{2}$ for digraphs

István Kovács, Mikhail Muzychuk, Péter P. Pálfy +2

We prove that the direct product of two coprime order elementary abelian groups of rank two, as well as the direct product of a cyclic group of prime order and a cyclic group of sq…

math.RT2020★ 6 cited

Congruence of matrix spaces, matrix tuples, and multilinear maps

Genrich R. Belitskii, Vyacheslav Futorny, Mikhail Muzychuk +1

Two matrix vector spaces $V, W \subset C^{n \times n}$ are said to be equivalent if $S V R = W$ for some nonsingular $S$ and $R$ . These spaces are congruent if $R = S^{T}$ . We prove t…

math.CO2020★ 2 cited

Generalised dihedral CI-groups

Ted Dobson, Mikhail Muzychuk, Pablo Spiga

In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if $R$ is a generalised dihedral group and if $R$ is a CI-group, then for every odd pri…

math.CO2020★ 1 cited

A classification of one dimensional affine rank three graphs