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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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2021 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188716 |
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| Цитувати: | 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188716 |
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dspace |
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irk-123456789-1887162023-03-13T19:10:46Z Common neighborhood spectrum of commuting graphs of finite groups Fasfous, W.N.T. Sharafdini, R. Nath, R.K. 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. 2021 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188716 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Fasfous, W.N.T. Sharafdini, R. Nath, R.K. |
| spellingShingle |
Fasfous, W.N.T. Sharafdini, R. Nath, R.K. Common neighborhood spectrum of commuting graphs of finite groups Algebra and Discrete Mathematics |
| author_facet |
Fasfous, W.N.T. Sharafdini, R. Nath, R.K. |
| author_sort |
Fasfous, W.N.T. |
| title |
Common neighborhood spectrum of commuting graphs of finite groups |
| title_short |
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_sort |
common neighborhood spectrum of commuting graphs of finite groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2021 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188716 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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AT fasfouswnt commonneighborhoodspectrumofcommutinggraphsoffinitegroups AT sharafdinir commonneighborhoodspectrumofcommutinggraphsoffinitegroups AT nathrk commonneighborhoodspectrumofcommutinggraphsoffinitegroups |
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2023-10-18T23:09:00Z |
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2023-10-18T23:09:00Z |
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1796157375965560832 |