Embeddings of (proper) power graphs of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Authors: Doostabadi, A., Farrokhi D.G., M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156640
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Embeddings of (proper) power graphs of finite groups / A. Doostabadi, M. Farrokhi D.G. // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 2. — С. 221-234. — Бібліогр.: 31 назв. — англ.

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.