State transfer on integral mixed circulant graphs

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. Concr...

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Bibliographic Details
Published inDiscrete mathematics Vol. 347; no. 1; p. 113727
Main Authors Song, Xingkun, Lin, Huiqiu
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2024
Subjects
Integral graphs
Mixed circulant graphs
Multiple state transfer
Perfect state transfer
Ramanujan's sum
Perfect state transfer
Mixed circulant graphs
Ramanujan's sum
Multiple state transfer
Integral graphs
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Summary: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.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2023.113727