Some properties of various graphs associated with finite groups
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Published:2021
Issue:2
Volume:31
Page:195-211
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ISSN:1726-3255
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Container-title:Algebra and Discrete Mathematics
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language:
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Short-container-title:ADM
Author:
Chen X. Y., ,Moghaddamfar A. R.,Zohourattar M., ,
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.
Publisher
State University Luhansk Taras Shevchenko National University
Subject
Discrete Mathematics and Combinatorics,Algebra and Number Theory