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Algebra and Discrete Mathematics, 2020, Volume 30, Issue 2, Pages 194–206
DOI: https://doi.org/10.12958/adm544
(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
References:
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
Bibliographic databases:
Document Type: Article
MSC: 20D15
Language: English
Citation: M. Ghorbani, M. Songhor, “On the spectrum of Cayley graphs”, Algebra Discrete Math., 30:2 (2020), 194–206
Citation in format AMSBIB
\Bibitem{GhoSon20}
\by M.~Ghorbani, M.~Songhor
\paper On the spectrum of Cayley graphs
\jour Algebra Discrete Math.
\yr 2020
\vol 30
\issue 2
\pages 194--206
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\crossref{https://doi.org/10.12958/adm544}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85100273089}
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