AKCE International Journal of Graphs and Combinatorics, Volume (19), No (3), Year (2022-9) , Pages (287-295)

Title : ( Twin g-noncommuting graph of a finite group )

Authors: Siti Zahidah , Karine Lutfiah Oktaviana , Yayuk Wahyuni , Liliek Susilowati , Ahmad Erfanian ,

Citation: BibTeX | EndNote

Abstract

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
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@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},
}

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%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

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