Some properties of various graphs associated with finite groups

• Datum: 2021
• Hauptverfasser: Chen, X. Y., Moghaddamfar, A. R., Zohourattar, M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2021
• Schlagworte: power graph; commuting graph; tree-number; simple group; 05C25; 20D05; 20D06
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1197
• Назва журналу: Algebra and Discrete Mathematics

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 \(L_2(7)\) can be characterized through the tree-number of its power graph.  Moreover, the classificati...