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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.
Received: 03.10.2017
Citation:
M. Ghorbani, M. Songhor, “On the spectrum of Cayley graphs”, Algebra Discrete Math., 30:2 (2020), 194–206
Linking options:
https://www.mathnet.ru/eng/adm775 https://www.mathnet.ru/eng/adm/v30/i2/p194
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Abstract page: | 147 | Full-text PDF : | 280 | References: | 22 |
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