Title : ( Connectivity and planarity of g-noncommuting graph of finite groups )
Authors: mahboube nasiri , Ahmad Erfanian , Abbas Mohammadian ,
Full TextAbstract
Let (Formula presented.) be a finite non-abelian group and (Formula presented.) be its center. For a fixed nonidentity element (Formula presented.) of (Formula presented.), the (Formula presented.)-noncommuting graph of (Formula presented.), denoted by (Formula presented.), is a simple undirected graph in which its vertices are (Formula presented.) and two distinct vertices (Formula presented.) and (Formula presented.) are adjacent if (Formula presented.) and (Formula presented.). In this paper, we discuss about connectivity of (Formula presented.) and determine all finite non-abelian groups such that their (Formula presented.)-noncommuting graphs are 1-planar, toroidal or projective.
Keywords
, Connected graph, 1-planar graph, g-noncommuting graph
@article{paperid:1067071,
author = {Nasiri, Mahboube and Erfanian, Ahmad and Mohammadian, Abbas},
title = {Connectivity and planarity of g-noncommuting graph of finite groups},
journal = {Journal of Algebra and its Applications},
year = {2018},
volume = {17},
number = {6},
month = {June},
issn = {0219-4988},
pages = {1--8},
numpages = {7},
keywords = {Connected graph; 1-planar graph; g-noncommuting graph},
}
%0 Journal Article
%T Connectivity and planarity of g-noncommuting graph of finite groups
%A Nasiri, Mahboube
%A Erfanian, Ahmad
%A Mohammadian, Abbas
%J Journal of Algebra and its Applications
%@ 0219-4988
%D 2018
