نوع مقاله : مقاله پژوهشی
عنوان مقاله English
نویسندگان English
Abstract
Let G be a finite non-abelian group. The non-commuting graph of G , denoted by Γ(G) , is defined as the graph whose vertex set is G-Z(G), where two distinct vertices x,yϵV(Γ(G)) are adjacent whenever xy≠yx . In this paper, several topological indices of Γ(G) are investigated, including F-Leap, F_1-Leap and the first and second generalized Zagreb. These indices are analyzed and calculated based on criteria such as distance between vertices, connectivity number, degree of vertices, and eccentricity number. The results of this research can play an effective role in better understanding the structural characteristics of groups and their relationship with topological indices.
کلیدواژهها English
