Hermitian Adjacency Spectrum of Cayley Digraphs over Dihedral Group

• 来源期刊: 代数集刊（英文版）
• 关键词: digraph dihedral group Hermitian adjacency matrix Cay-DS 3-DCI property
• 年，卷（期）: 2020,（1）
• 页码范围: 121-130
• 页数: 10页
• 语种: 英文
• DOI: 10.1142/S1005386720000103

摘要

We first study the spectrum of Hermitian adjacency matrix (H-spectrum) of Cayley digraphs X(D2n,S) on dihedral group D2n with ｜S｜ =3.Then we show that all Cayley digraphs X(D2p,S) with ｜S｜ =3 and p odd prime are Cay-DS,namely,for any Cayley digraph X(D2p,T),X(D2p,T) and X(D2p,S) having the same H-spectrum implies that they are isomorphic.