Embeddings of (proper) power graphs of finite groups

Abstract

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.

10 pages, 2 figures

Cited by in corpus (3)

• Non-cyclic graphs of (non)orientable genus one
• The complement of proper power graphs of finite groups
• Power graphs of (non)orientable genus two