Title : ( Twin g-noncommuting graph of a finite group )
Authors: Siti Zahidah , Karine Lutfiah Oktaviana , Yayuk Wahyuni , Liliek Susilowati , Ahmad Erfanian ,
Full TextAbstract
In this paper, we introduce the twin g-noncommuting graph of a finite group that is developed by combining the concepts of the g-noncommuting graph and the twin noncommuting graph of a finite group. The twin g-noncommuting graph of a finite group G, denoted by Γ¨gG, is constructed by considering the twin vertex set as one vertex and the adjacency of the two vertices are determined from their adjacency on the g-noncommuting graph. Furthermore, we choose dihedral group, whose representation of the twin g-noncommuting graph is determined. In addition, we determine the clique number of the twin g-noncommuting graph of dihedral group.
Keywords
, g, noncommuting graph; twin noncommuting graph; twin g, noncommuting graph; dihedral group; clique number
@article{paperid:1094164,
author = {Siti Zahidah and Karine Lutfiah Oktaviana and Yayuk Wahyuni and Liliek Susilowati and Erfanian, Ahmad},
title = {Twin g-noncommuting graph of a finite group},
journal = {AKCE International Journal of Graphs and Combinatorics},
year = {2022},
volume = {19},
number = {3},
month = {September},
issn = {0972-8600},
pages = {287--295},
numpages = {8},
keywords = {g-noncommuting graph;
twin noncommuting graph; twin g-noncommuting graph; dihedral group;
clique number},
}
%0 Journal Article
%T Twin g-noncommuting graph of a finite group
%A Siti Zahidah
%A Karine Lutfiah Oktaviana
%A Yayuk Wahyuni
%A Liliek Susilowati
%A Erfanian, Ahmad
%J AKCE International Journal of Graphs and Combinatorics
%@ 0972-8600
%D 2022
