Splitting fields of mixed Cayley graphs over abelian groups

被引：4
|
作者：
Huang, Xueyi [1 ]
Lu, Lu [2 ]
Moenius, Katja [3 ]
机构：
[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
[2] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[3] Wurzburg Univ, Dept Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 58卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Mixed Cayley graph; Integral graph; Splitting Field; Algebraic degree; MATRICES; SPECTRA;
D O I：
10.1007/s10801-023-01260-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The splitting field SF(Gamma) of a mixed graph Gamma is the smallest field extension of Q which contains all eigenvalues of the Hermitian adjacency matrix of Gamma. The extension degree [SF(Gamma) : Q] is called the algebraic degree of Gamma. In this paper, we determine the splitting fields and algebraic degrees of mixed Cayley graphs over abelian groups. This generalizes the main results of Monius (J Algebra 594(15):154-169, 2022). Additionally, we provide a characterization of integralmixed Cayley graphs over abelian groups, which implies the main result of Kadyan and Bhattacharjya (Electron J Combin 28(4):P4.46, 2021).
引用
收藏
页码：681 / 693
页数：13
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