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Some properties of various graphs associated with finite groups
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| dc.contributor.author | Chen, X.Y. | |
| dc.contributor.author | Moghaddamfar, A.R. | |
| dc.contributor.author | Zohourattar, M. | |
| dc.date.accessioned | 2023-03-11T15:57:46Z | |
| dc.date.available | 2023-03-11T15:57:46Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | DOI:10.12958/adm1197 | |
| dc.identifier.other | 2020 MSC: 05C25, 20D05, 20D06. | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/188706 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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). | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | Some properties of various graphs associated with finite groups | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
