Some properties of various graphs associated with finite groups
In this paper we investigate some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it is shown that the simple group L₂(7) can be characterized through the tree-number of its power graph. Moreover, the classification of g...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2021 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188706 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some properties of various graphs associated with finite groups / X.Y. Chen, A.R. Moghaddamfar, M. Zohourattar // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 195–211. — Бібліогр.: 64 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737688802623488 |
|---|---|
| author | Chen, X.Y. Moghaddamfar, A.R. Zohourattar, M. |
| author_facet | Chen, X.Y. Moghaddamfar, A.R. Zohourattar, M. |
| citation_txt | Some properties of various graphs associated with finite groups / X.Y. Chen, A.R. Moghaddamfar, M. Zohourattar // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 195–211. — Бібліогр.: 64 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper we investigate some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it is shown that the simple group L₂(7) can be characterized through the tree-number of its power graph. Moreover, the classification of groups with power-free decomposition is presented. Finally, we obtain an explicit formula concerning the tree-number of commuting graphs associated with the Suzuki simple groups.
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| first_indexed | 2025-12-07T20:00:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188706 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:00:38Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chen, X.Y. Moghaddamfar, A.R. Zohourattar, M. 2023-03-11T15:57:46Z 2023-03-11T15:57:46Z 2021 Some properties of various graphs associated with finite groups / X.Y. Chen, A.R. Moghaddamfar, M. Zohourattar // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 195–211. — Бібліогр.: 64 назв. — англ. 1726-3255 DOI:10.12958/adm1197 2020 MSC: 05C25, 20D05, 20D06. https://nasplib.isofts.kiev.ua/handle/123456789/188706 In this paper we investigate some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it is shown that the simple group L₂(7) can be characterized through the tree-number of its power graph. Moreover, the classification of groups with power-free decomposition is presented. Finally, we obtain an explicit formula concerning the tree-number of commuting graphs associated with the Suzuki simple groups. This work was done during the first and second authors had a visiting position at the Department of Mathematical Sciences, Kent State University, USA. They would like to thank the hospitality of the Department of Mathematical Sciences of KSU. The first author thanks Cultivation Programme for Young Backbone Teachers in Henan University of Technology, the Project of Henan Province (182102410049), and NSFC (11926330, 11926326, 11971189, 11771356). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some properties of various graphs associated with finite groups Article published earlier |
| spellingShingle | Some properties of various graphs associated with finite groups Chen, X.Y. Moghaddamfar, A.R. Zohourattar, M. |
| title | Some properties of various graphs associated with finite groups |
| title_full | Some properties of various graphs associated with finite groups |
| title_fullStr | Some properties of various graphs associated with finite groups |
| title_full_unstemmed | Some properties of various graphs associated with finite groups |
| title_short | Some properties of various graphs associated with finite groups |
| title_sort | some properties of various graphs associated with finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188706 |
| work_keys_str_mv | AT chenxy somepropertiesofvariousgraphsassociatedwithfinitegroups AT moghaddamfarar somepropertiesofvariousgraphsassociatedwithfinitegroups AT zohourattarm somepropertiesofvariousgraphsassociatedwithfinitegroups |