ASM Science Journal, Year (2020-4)

Title : ( The Topological Indices of the Non-commuting Graph for Symmetric Groups )

Authors: Nur Idayu Alimon , Nor Haniza Sarmin , Ahmad Erfanian ,

Citation: BibTeX | EndNote

Abstract

Topological indices are the numerical values that can be calculated from a graph and it is calculated based on the molecular graph of a chemical compound. It is often used in chemistry to analyse the physical properties of the molecule which can be represented as a graph with a set of vertices and edges. Meanwhile, the non-commuting graph is the graph of vertex set whose vertices are non-central elements and two distinct vertices are joined by an edge if they do not commute. The symmetric group, denoted as ????????, is a set of all permutation under composition. In this paper, two of the topological indices, namely the Wiener index and the Zagreb index of the non-commuting graph for symmetric groups of order 6 and 24 are determined.

Keywords

, Wiener index, Zagreb index, non-commuting graph, symmetric groups
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@article{paperid:1079695,
author = {نور ایدایو ایمون and نور هانیزا سارمین and Erfanian, Ahmad},
title = {The Topological Indices of the Non-commuting Graph for Symmetric Groups},
journal = {ASM Science Journal},
year = {2020},
month = {April},
issn = {1823-6782},
keywords = {Wiener index; Zagreb index; non-commuting graph; symmetric groups},
}

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%0 Journal Article
%T The Topological Indices of the Non-commuting Graph for Symmetric Groups
%A نور ایدایو ایمون
%A نور هانیزا سارمین
%A Erfanian, Ahmad
%J ASM Science Journal
%@ 1823-6782
%D 2020

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