Integral Cayley graphs over a group of order 6n

Jing Wang; Xiaogang Liu; Ligong Wang

doi:10.1080/03081087.2025.2480554

Integral Cayley graphs over a group of order 6n

Jing Wang, Xiaogang Liu, Ligong Wang

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper, we study the integral Cayley graphs over a non-abelian group (Formula presented.) of order (Formula presented.). We give a necessary and sufficient condition for the integrality of Cayley graphs over (Formula presented.). We also study relationships between the integrality of Cayley graphs over (Formula presented.) and the Boolean algebra of cyclic groups. As applications, we construct some infinite families of connected integral Cayley graphs over (Formula presented.).

源语言	英语
期刊	Linear and Multilinear Algebra
DOI	https://doi.org/10.1080/03081087.2025.2480554
出版状态	已接受/待刊 - 2025

访问文件

10.1080/03081087.2025.2480554

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{a20db2f243a64a729268c8a9fa3249ff,

title = "Integral Cayley graphs over a group of order 6n",

abstract = "In this paper, we study the integral Cayley graphs over a non-abelian group (Formula presented.) of order (Formula presented.). We give a necessary and sufficient condition for the integrality of Cayley graphs over (Formula presented.). We also study relationships between the integrality of Cayley graphs over (Formula presented.) and the Boolean algebra of cyclic groups. As applications, we construct some infinite families of connected integral Cayley graphs over (Formula presented.).",

keywords = "Boolean algebra, Integral Cayley graph, non-abelian group",

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

note = "Publisher Copyright: {\textcopyright} 2025 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2025",

doi = "10.1080/03081087.2025.2480554",

language = "英语",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - Integral Cayley graphs over a group of order 6n

AU - Wang, Jing

AU - Liu, Xiaogang

AU - Wang, Ligong

PY - 2025

Y1 - 2025

N2 - In this paper, we study the integral Cayley graphs over a non-abelian group (Formula presented.) of order (Formula presented.). We give a necessary and sufficient condition for the integrality of Cayley graphs over (Formula presented.). We also study relationships between the integrality of Cayley graphs over (Formula presented.) and the Boolean algebra of cyclic groups. As applications, we construct some infinite families of connected integral Cayley graphs over (Formula presented.).

AB - In this paper, we study the integral Cayley graphs over a non-abelian group (Formula presented.) of order (Formula presented.). We give a necessary and sufficient condition for the integrality of Cayley graphs over (Formula presented.). We also study relationships between the integrality of Cayley graphs over (Formula presented.) and the Boolean algebra of cyclic groups. As applications, we construct some infinite families of connected integral Cayley graphs over (Formula presented.).

KW - Boolean algebra

KW - Integral Cayley graph

KW - non-abelian group

UR - http://www.scopus.com/inward/record.url?scp=105000505969&partnerID=8YFLogxK

U2 - 10.1080/03081087.2025.2480554

DO - 10.1080/03081087.2025.2480554

M3 - 文章

AN - SCOPUS:105000505969

SN - 0308-1087

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

ER -

Integral Cayley graphs over a group of order 6n

摘要

访问文件

其它文件与链接

指纹

引用此