Some properties of various graphs associated with finite groups

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Фізико-технічні та математичні науки
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Algebra and Discrete Mathematics
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Algebra and Discrete Mathematics, 2021, Vol. 31, Vol. 32
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Algebra and Discrete Mathematics, 2021, Vol. 31, № 2
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Some properties of various graphs associated with finite groups

Chen, X.Y. ; Moghaddamfar, A.R. ; Zohourattar, M.

Інший ID: DOI:10.12958/adm1197
2020 MSC: 05C25, 20D05, 20D06.

URI: http://dspace.nbuv.gov.ua/handle/123456789/188706

Посилання: 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.

Підтримка: 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).

Дата: 2021

Завантажень: 76

Some properties of various graphs associated with finite groups

Анотація:

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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