TY - JOUR
T1 - Twin g-noncommuting graph of a finite group
AU - Zahidah, Siti
AU - Lutfiah Oktaviana, Karine
AU - Wahyuni, Yayuk
AU - Susilowati, Liliek
AU - Erfanian, Ahmad
N1 - Publisher Copyright:
© 2022 The Author(s). Published with license by Taylor & Francis Group, LLC.
PY - 2022
Y1 - 2022
N2 - 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 (Formula presented.) 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.
AB - 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 (Formula presented.) 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.
KW - clique number
KW - dihedral group
KW - g-noncommuting graph
KW - twin g-noncommuting graph
KW - twin noncommuting graph
UR - http://www.scopus.com/inward/record.url?scp=85143204692&partnerID=8YFLogxK
U2 - 10.1080/09728600.2022.2146548
DO - 10.1080/09728600.2022.2146548
M3 - Article
AN - SCOPUS:85143204692
SN - 0972-8600
VL - 19
SP - 287
EP - 295
JO - AKCE International Journal of Graphs and Combinatorics
JF - AKCE International Journal of Graphs and Combinatorics
IS - 3
ER -