Hermitian Adjacency Matrices of Mixed Graphs
Combinatorics
2022-05-12 v2
Abstract
The traditional adjacency matrix of a mixed graph is not symmetric in general, hence its eigenvalues may be not real. To overcome this obstacle, several authors have recently defined and studied various Hermitian adjacency matrices of digraphs or mixed graphs. In this work we unify previous work and offer a new perspective on the subject by introducing the concept of monographs. Moreover, we consider questions of cospectrality.
Keywords
Cite
@article{arxiv.2103.16969,
title = {Hermitian Adjacency Matrices of Mixed Graphs},
author = {Mohammad Abudayah and Omar Alomari and Torsten Sander},
journal= {arXiv preprint arXiv:2103.16969},
year = {2022}
}