Integral mixed cayley graph over abelian group

Abstract

A mixed graph is said to be integral if all the eigenvalues of its Hermitian adjacency matrix are integer. Let $\Gamma$ be an abelian group. The \textit{mixed Cayley graph} $Cay(\Gamma ,S)$ is a mixed graph on the vertex set $\Gamma$ and edge set $\{(a,b):b-a\in S\}$, where $0\notin S$. We characterize integral mixed Cayley graph $Cay(\Gamma ,S)$ over abelian group in terms of its symbol set $S$.

arXiv admin note: text overlap with arXiv:2106.01261