| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 43 Number 6
Volume 43 Number 5
Volume 43 Number 4
Volume 43 Number 3
Volume 43 Number 2
Volume 43 Number 1
Earlier issues
Volume 40 Number 6 Volume 41 Number 1 Volume 41 Number 2

previous article 1

Research articles

ScienceAsia 41(2015): 73-78 |doi: 10.2306/scienceasia1513-1874.2015.41.073

Some results on the power graphs of finite groups

Doostabadi Alireza, Erfanian Ahmad*, Jafarzadeh Abbas

ABSTRACT:     We classify planar graphs and complete power graphs of groups and show that the only infinite group with a complete power graph is the Prüfer group ℤp. Clique and chromatic numbers and the automorphism group of power graphs are investigated. We also prove that the reduced power graph of a group G is regular if and only if G is a cyclic p-group or exp(G)=p for some prime number p.

Download PDF

2 Downloads 171 Views

Ferdowsi University of Mashhad, Department of Mathematics and Centre of Excellence in Analysis on Algebraic Structures, Mashhad, Iran

* Corresponding author, E-mail: erfanian@math.um.ac.ir

Received 24 Apr 2013, Accepted 21 Feb 2014