Algebraic degree of Cayley graphs over abelian groups and dihedral groups

被引：5
|
作者：
Lu, Lu [1 ]
Moenius, Katja [2 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[2] Wurzburg Univ, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2023年 / 57卷 / 03期
关键词：
Cayley graph; Integral graph; Algebraic degree; SPECTRA;
D O I：
10.1007/s10801-022-01190-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a graph Gamma, let K be the smallest field containing all eigenvalues of the adjacency matrix of Gamma. The algebraic degree deg(Gamma) is the extension degree [K : Q]. In this paper, we completely determine the algebraic degrees of Cayley graphs over abelian groups and dihedral groups.
引用
收藏
页码：753 / 761
页数：9
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