Common neighborhood spectrum of commuting graphs of finite groups
The commuting graph of a finite non-abelian group \(G\) with center \(Z(G)\), denoted by \(\Gamma_c(G)\), is a simple undirected graph whose vertex set is \(G\setminus Z(G)\), and two distinct vertices \(x\) and \(y\) are adjacent if and only if \(xy = yx\). In this paper, we compute the common neig...
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| Datum: | 2021 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2021
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1332 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543291285176320 |
|---|---|
| author | Fasfous, W. N. T. Sharafdini, R. Nath, R. K. |
| author_facet | Fasfous, W. N. T. Sharafdini, R. Nath, R. K. |
| author_sort | Fasfous, W. N. T. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-11-09T03:53:16Z |
| description | The commuting graph of a finite non-abelian group \(G\) with center \(Z(G)\), denoted by \(\Gamma_c(G)\), is a simple undirected graph whose vertex set is \(G\setminus Z(G)\), and two distinct vertices \(x\) and \(y\) are adjacent if and only if \(xy = yx\). In this paper, we compute the common neighborhood spectrum of commuting graphs of several classes of finite non-abelian groups and conclude that these graphs are CN-integral. |
| first_indexed | 2025-12-02T15:25:20Z |
| format | Article |
| id | admjournalluguniveduua-article-1332 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:25:20Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-13322021-11-09T03:53:16Z Common neighborhood spectrum of commuting graphs of finite groups Fasfous, W. N. T. Sharafdini, R. Nath, R. K. commuting graph, spectrum, integral graph, finite group 05C50, 15A18, 05C25, 20D99 The commuting graph of a finite non-abelian group \(G\) with center \(Z(G)\), denoted by \(\Gamma_c(G)\), is a simple undirected graph whose vertex set is \(G\setminus Z(G)\), and two distinct vertices \(x\) and \(y\) are adjacent if and only if \(xy = yx\). In this paper, we compute the common neighborhood spectrum of commuting graphs of several classes of finite non-abelian groups and conclude that these graphs are CN-integral. Lugansk National Taras Shevchenko University 2021-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1332 10.12958/adm1332 Algebra and Discrete Mathematics; Vol 32, No 1 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1332/pdf Copyright (c) 2021 Algebra and Discrete Mathematics |
| spellingShingle | commuting graph spectrum integral graph finite group 05C50 15A18 05C25 20D99 Fasfous, W. N. T. Sharafdini, R. Nath, R. K. Common neighborhood spectrum of commuting graphs of finite groups |
| title | Common neighborhood spectrum of commuting graphs of finite groups |
| title_full | Common neighborhood spectrum of commuting graphs of finite groups |
| title_fullStr | Common neighborhood spectrum of commuting graphs of finite groups |
| title_full_unstemmed | Common neighborhood spectrum of commuting graphs of finite groups |
| title_short | Common neighborhood spectrum of commuting graphs of finite groups |
| title_sort | common neighborhood spectrum of commuting graphs of finite groups |
| topic | commuting graph spectrum integral graph finite group 05C50 15A18 05C25 20D99 |
| topic_facet | commuting graph spectrum integral graph finite group 05C50 15A18 05C25 20D99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1332 |
| work_keys_str_mv | AT fasfouswnt commonneighborhoodspectrumofcommutinggraphsoffinitegroups AT sharafdinir commonneighborhoodspectrumofcommutinggraphsoffinitegroups AT nathrk commonneighborhoodspectrumofcommutinggraphsoffinitegroups |