Embeddings of (proper) power graphs of finite groups

• Datum: 2018
• Hauptverfasser: Doostabadi, A., Farrokhi D. G., M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: power graph; planar graph; outerplanar graph; ring graph; 1-planar graph; almost planar graph; maximal planar graph; toroidal graph; projective graph; Primary 05C25; 05C10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/145
• Назва журналу: Algebra and Discrete Mathematics

The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.