Topological Indices of the Non-commuting Graph for Generalised Quaternion Group

被引：7
|
作者：
Sarmin, Nor Haniza [1 ]
Alimon, Nur Idayu [1 ]
Erfanian, Ahmad [2 ]
机构：
[1] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Johor Baharu 81310, Johor, Malaysia
[2] Ferdowsi Univ Mashhad, Fac Math Sci, Dept Pure Math, Mashhad, Razavi Khorasan, Iran
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 05期
关键词：
Wiener index; Zagreb index; Non-commuting graph; Generalised quaternion group; DISTANCE;
D O I：
10.1007/s40840-019-00872-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A topological index is a numerical value associated with chemical constitution for correlation of chemical structure with various physical properties and chemical reactivity. It is calculated from a graph representing a molecule. Meanwhile, the non-commuting graph,Gamma GofG, is defined as a graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if and only if they do not commute. The main objective of this article is to determine the general formula of some topological indices, namely Wiener index, first Zagreb index and second Zagreb index for the non-commuting graph associated with generalised quaternion group in terms ofn.
引用
收藏
页码：3361 / 3367
页数：7
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