A note on unitary Cayley graphs of matrix algebras

Yihan Chen; Bicheng Zhang

paper

A note on unitary Cayley graphs of matrix algebras

arXiv:1904.11868

Abstract

Dariush Kiani et al.\cite{kiani2015unitary} claim to have found the unitary Cayley graph $C a y (M_{n} (F), G L_{n} (F))$ of matrix algebras over finite field $F$ is strongly regular only when $n = 2$ , but they have only considered two special cases, namely when $n = 2$ and $3$ and have failed to cover the general cases. In this paper, we prove that the unitary Cayley graph of matrix algebras over finite field $F$ is strongly regular if and only if $n = 2$ .