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Some properties of various graphs associated with finite groups

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 نشر من قبل Alireza Moghaddamfar -
 تاريخ النشر 2018
  مجال البحث
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In this paper we have investigated some properties of the power graph and commuting graph associated with a finite group, using their tree-numbers. Among other things, it has been shown that the simple group $L_2(7)$ can be characterized through the tree-number of its power graph. Moreover, the classification of groups with power-free decomposition is presented. Finally, we have obtained an explicit formula concerning the tree-number of commuting graphs associated with the Suzuki simple groups.



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