State transfer on integral mixed circulant graphs
Combinatorics
2022-10-18 v1
Abstract
A mixed circulant graph is called integral if all eigenvalues of its Hermitian adjacency matrix are integers. The main purpose of this paper is to investigate the existence of perfect state transfer (PST for short) and multiple state transfer (MST for short) on integral mixed circulant graphs. Concretely, we provide sufficient and necessary conditions for the existence of PST and MST between specified pairs of vertices on integral mixed circulant graphs, respectively.
Cite
@article{arxiv.2210.08693,
title = {State transfer on integral mixed circulant graphs},
author = {Xing-Kun Song and Huiqiu Lin},
journal= {arXiv preprint arXiv:2210.08693},
year = {2022}
}
Comments
18 pages, 3 figures. arXiv admin note: text overlap with arXiv:2204.05026