A. Doostabadi, M. Farrokhi D.G., “Embeddings of (proper) power graphs of finite groups”, Algebra Discrete Math., 2017, Volume 24, Issue 2,Pages <nobr>221

This article is cited in 5 papers

RESEARCH ARTICLE

Embeddings of (proper) power graphs of finite groups

A. Doostabadi^a, M. Farrokhi D.G.^b

^a University of Zabol, Faculty of Science, Zabol, Iran
^b Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran

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.

Keywords: power graph, planar graph, outerplanar graph, ring graph, $1$-planar graph, almost planar graph, maximal planar graph, toroidal graph, projective graph.

MSC: 05C25, 05C10

Received: 13.01.2016

Language: English