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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2020 Volume 30, Issue 2, Pages 194–206 (Mi adm775)

RESEARCH ARTICLE

On the spectrum of Cayley graphs

M. Ghorbani, M. Songhor

Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-136, I.R. Iran

Abstract: 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-abelian groups with a normal symmetric connected subset.

Keywords: Cayley graphs, symmetric set, semi-direct product, characteristic polynomial.

MSC: 20D15

Received: 03.10.2017

Language: English

DOI: 10.12958/adm544



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