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 Гc(G), is a simple undirected graph whose vertex set is G\ 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 s...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2021 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188716 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Common neighborhood spectrum of commuting graphs of finite groups / W.N.T. Fasfous, R. Sharafdini, R.K. Nath // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 33–48. — Бібліогр.: 24 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862647194520125440 |
|---|---|
| author | Fasfous, W.N.T. Sharafdini, R. Nath, R.K. |
| author_facet | Fasfous, W.N.T. Sharafdini, R. Nath, R.K. |
| citation_txt | Common neighborhood spectrum of commuting graphs of finite groups / W.N.T. Fasfous, R. Sharafdini, R.K. Nath // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 33–48. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The commuting graph of a finite non-abelian group G with center Z(G), denoted by Гc(G), is a simple undirected graph whose vertex set is G\ 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.
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| first_indexed | 2025-12-01T12:13:50Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188716 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T12:13:50Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Fasfous, W.N.T. Sharafdini, R. Nath, R.K. 2023-03-12T18:07:56Z 2023-03-12T18:07:56Z 2021 Common neighborhood spectrum of commuting graphs of finite groups / W.N.T. Fasfous, R. Sharafdini, R.K. Nath // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 33–48. — Бібліогр.: 24 назв. — англ. 1726-3255 DOI:10.12958/adm1332 2020 MSC: 20D99, 05C50, 15A18, 05C25 https://nasplib.isofts.kiev.ua/handle/123456789/188716 The commuting graph of a finite non-abelian group G with center Z(G), denoted by Гc(G), is a simple undirected graph whose vertex set is G\ 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. The authors would like to thank the referee for his/her valuable comments and suggestions. The first author is thankful to Indian Council for Cultural Relations for the ICCR Scholarship. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Common neighborhood spectrum of commuting graphs of finite groups Article published earlier |
| spellingShingle | Common neighborhood spectrum of commuting graphs of finite groups Fasfous, W.N.T. Sharafdini, R. Nath, R.K. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188716 |
| work_keys_str_mv | AT fasfouswnt commonneighborhoodspectrumofcommutinggraphsoffinitegroups AT sharafdinir commonneighborhoodspectrumofcommutinggraphsoffinitegroups AT nathrk commonneighborhoodspectrumofcommutinggraphsoffinitegroups |