Some properties of various graphs associated with finite groups

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dc.contributor.authorChen, X.Y.
dc.contributor.authorMoghaddamfar, A.R.
dc.contributor.authorZohourattar, M.
dc.date.accessioned2023-03-11T15:57:46Z
dc.date.available2023-03-11T15:57:46Z
dc.date.issued2021
dc.description.abstractIn 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.sponsorshipThis 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.identifier.citationSome 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.issn1726-3255
dc.identifier.otherDOI:10.12958/adm1197
dc.identifier.other2020 MSC: 05C25, 20D05, 20D06.
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/188706
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН Україниuk_UA
dc.relation.ispartofAlgebra and Discrete Mathematics
dc.statuspublished earlieruk_UA
dc.titleSome properties of various graphs associated with finite groupsuk_UA
dc.typeArticleuk_UA

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Algebra and Discrete Mathematics, 2021, Vol. 31, № 2