Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups

• Date: 2018
• Main Authors: Chattopadhyay, Sriparna, Panigrahi, Pratima
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: power graph; connectivity; planarity; cyclic group; dihedral group; dicyclic group; 05C25; 05C10; 05C40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1045
• Journal Title: Algebra and Discrete Mathematics

The power graph of a finite group is the graph whose vertices are the elements of the group and two distinct vertices are adjacent if and only if one is an integral power of the other. In this paper we discuss the planarity and vertex connectivity of the power graphs of finite cyclic, dihedral and d...