Fractional revival on Cayley graphs over abelian groups

Jing Wang; Ligong Wang; Xiaogang Liu

doi:10.1016/j.disc.2024.114218

Fractional revival on Cayley graphs over abelian groups

Jing Wang
, Ligong Wang
, Xiaogang Liu

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized.

Original language	English
Article number	114218
Journal	Discrete Mathematics
Volume	347
Issue number	12
DOIs	https://doi.org/10.1016/j.disc.2024.114218
State	Published - Dec 2024

Keywords

Cayley graph
Circulant graph
Cubelike graph
Fractional revival

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10.1016/j.disc.2024.114218

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title = "Fractional revival on Cayley graphs over abelian groups",

abstract = "In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized.",

keywords = "Cayley graph, Circulant graph, Cubelike graph, Fractional revival",

author = "Jing Wang and Ligong Wang and Xiaogang Liu",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",

year = "2024",

month = dec,

doi = "10.1016/j.disc.2024.114218",

language = "英语",

volume = "347",

journal = "Discrete Mathematics",

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T1 - Fractional revival on Cayley graphs over abelian groups

AU - Wang, Jing

AU - Wang, Ligong

AU - Liu, Xiaogang

PY - 2024/12

Y1 - 2024/12

N2 - In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized.

AB - In this paper, we investigate the existence of fractional revival on Cayley graphs over finite abelian groups. We give a necessary and sufficient condition for Cayley graphs over finite abelian groups to have fractional revival. As applications, the existence of fractional revival on circulant graphs and cubelike graphs are characterized.

KW - Cayley graph

KW - Circulant graph

KW - Cubelike graph

KW - Fractional revival

UR - https://www.scopus.com/pages/publications/85201723219

U2 - 10.1016/j.disc.2024.114218

DO - 10.1016/j.disc.2024.114218

M3 - 文章

AN - SCOPUS:85201723219

SN - 0012-365X

VL - 347

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 12

M1 - 114218

ER -

Fractional revival on Cayley graphs over abelian groups

Abstract

Keywords

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