Title : ( Non-exterior square graph of Finite Groups )
Authors: Ahmad Erfanian , Penman Niroomand , Mohsen Parvizi , Behnaz Tolue ,
Full TextAbstract
We define the non-exterior square graph ΓˆG which is a graph associated to a non- cyclic finite group with the vertex set G \ Zˆ(G), where Zˆ(G) denotes the exterior centre of G, and two vertices x and y are joined whenever x ∧ y ̸= 1, where ∧ denotes the operator of non- abelian exterior square. In this paper, we investigate how the group structure can be affected the planarity, completeness and regularity of this graph.
Keywords
, Non-exterior square graph, exterior degree, Schur multiplier, non-commutating graph, capable groups.
@article{paperid:1054499,
author = {Erfanian, Ahmad and Penman Niroomand and Parvizi, Mohsen and Behnaz Tolue},
title = {Non-exterior square graph of Finite Groups},
journal = {Filomat},
year = {2017},
volume = {31},
number = {3},
month = {November},
issn = {0354-5180},
pages = {877--883},
numpages = {6},
keywords = {Non-exterior square graph; exterior degree; Schur multiplier; non-commutating graph; capable groups.},
}
%0 Journal Article
%T Non-exterior square graph of Finite Groups
%A Erfanian, Ahmad
%A Penman Niroomand
%A Parvizi, Mohsen
%A Behnaz Tolue
%J Filomat
%@ 0354-5180
%D 2017
