Spectra of Generalized Cayley Graphs on Finite Abelian Groups

被引：0
作者：
Zhu, Xiaomin [1 ]
Yang, Xu [2 ]
Chen, Jing [3 ]
机构：
[1] Shanghai Inst Technol, Coll Sci, Shanghai 201418, Peoples R China
[2] Shanghai Lixin Univ Accounting & Finance, Shanghai 201209, Peoples R China
[3] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2023年 / 30卷 / 01期
基金：
中国国家自然科学基金;
关键词：
generalized Cayley graphs; integral graphs; Cayley graphs; double covering;
D O I：
10.1142/S1005386723000081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The spectra of generalized Cayley graphs of finite abelian groups are investigated in this paper. For a generalized Cayley graph X of a finite group G, the canonical double covering of X is the direct product X x K-2 . In this paper, integral generalized Cayley graphs on finite abelian groups are characterized, using the characterization of the spectra of integral Cayley graphs. As an application, the integral generalized Cayley graphs on Z(p )x Z(q) and Z(2)n are investigated, where p and q are odd prime numbers.
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页码：97 / 110
页数：14
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