On the spectrum of Cayley graphs

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...

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Datum:2021
Hauptverfasser: Ghorbani, M., Songhori, M.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2021
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/544
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-5442021-01-29T09:38:49Z On the spectrum of Cayley graphs Ghorbani, M. Songhori, M. Cayley graphs, symmetric set, semi-direct product, characteristic polynomial 20D15 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. Lugansk National Taras Shevchenko University 2021-01-29 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/544 10.12958/adm544 Algebra and Discrete Mathematics; Vol 30, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/544/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/544/796 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/544/820 Copyright (c) 2021 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2021-01-29T09:38:49Z
collection OJS
language English
topic Cayley graphs
symmetric set
semi-direct product
characteristic polynomial
20D15
spellingShingle Cayley graphs
symmetric set
semi-direct product
characteristic polynomial
20D15
Ghorbani, M.
Songhori, M.
On the spectrum of Cayley graphs
topic_facet Cayley graphs
symmetric set
semi-direct product
characteristic polynomial
20D15
format Article
author Ghorbani, M.
Songhori, M.
author_facet Ghorbani, M.
Songhori, M.
author_sort Ghorbani, M.
title On the spectrum of Cayley graphs
title_short On the spectrum of Cayley graphs
title_full On the spectrum of Cayley graphs
title_fullStr On the spectrum of Cayley graphs
title_full_unstemmed On the spectrum of Cayley graphs
title_sort on the spectrum of cayley graphs
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2021
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/544
work_keys_str_mv AT ghorbanim onthespectrumofcayleygraphs
AT songhorim onthespectrumofcayleygraphs
first_indexed 2025-07-17T10:33:45Z
last_indexed 2025-07-17T10:33:45Z
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