H-integral and Gaussian integral normal mixed Cayley graphs
Combinatorics
2023-02-17 v4 Representation Theory
Abstract
If all the eigenvalues of the Hermitian-adjacency matrix of a mixed graph are integers, then the mixed graph is called \emph{H-integral}. If all the eigenvalues of the (0,1)-adjacency matrix of a mixed graph are \emph{Gaussian integers}, then the mixed graph is called \emph{Gaussian integral}. For any finite group , we characterize the set for which the normal mixed Cayley graph is H-integral. We further prove that a normal mixed Cayley graph is H-integral if and only if it is Gaussian integral.
Cite
@article{arxiv.2110.03268,
title = {H-integral and Gaussian integral normal mixed Cayley graphs},
author = {Monu Kadyan and Bikash Bhattacharjya},
journal= {arXiv preprint arXiv:2110.03268},
year = {2023}
}