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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Lugansk National Taras Shevchenko University
2021
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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 |
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Algebra and Discrete Mathematics |
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2021-01-29T09:38:49Z |
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English |
topic |
Cayley graphs symmetric set semi-direct product characteristic polynomial 20D15 |
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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 |
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2025-07-17T10:33:45Z |
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