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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: | 176 | Full-text PDF : | 359 | References: | 31 |
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