On the spectrum of Cayley graphs

• Date: 2021
• Main Authors: Ghorbani, M., Songhori, M.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: Cayley graphs; symmetric set; semi-direct product; characteristic polynomial; 20D15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/544
• Journal Title: Algebra and Discrete Mathematics

The set of eigenvalues of  the adjacency matrix of a graph is called the spectrum of it. In the present paper, we introduce the spectrum of Cayley graphs of order \(pqr\) in terms of  character table, where \(p,q,r\) are prime numbers. We also, stablish some properties of Cayley graphs of non-abelia...