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Topological indices of the non-commuting graph for generalised quaternion group

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, Γ G of G, is defined as a graph of...

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Main Authors: Sarmin, Nor Haniza, Alimon, Nur Idayu, Erfanian, Ahmad
Format: Article
Published: Springer 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/93741/
http://dx.doi.org/10.1007/s40840-019-00872-z
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spelling my.utm.937412021-12-31T08:48:42Z http://eprints.utm.my/id/eprint/93741/ Topological indices of the non-commuting graph for generalised quaternion group Sarmin, Nor Haniza Alimon, Nur Idayu Erfanian, Ahmad QA Mathematics 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, Γ G of G, 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 of n. Springer 2020-09-01 Article PeerReviewed Sarmin, Nor Haniza and Alimon, Nur Idayu and Erfanian, Ahmad (2020) Topological indices of the non-commuting graph for generalised quaternion group. Bulletin of the Malaysian Mathematical Sciences Society, 43 (5). pp. 3361-3367. ISSN 0126-6705 http://dx.doi.org/10.1007/s40840-019-00872-z DOI:10.1007/s40840-019-00872-z
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Sarmin, Nor Haniza
Alimon, Nur Idayu
Erfanian, Ahmad
Topological indices of the non-commuting graph for generalised quaternion group
description 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, Γ G of G, 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 of n.
format Article
author Sarmin, Nor Haniza
Alimon, Nur Idayu
Erfanian, Ahmad
author_facet Sarmin, Nor Haniza
Alimon, Nur Idayu
Erfanian, Ahmad
author_sort Sarmin, Nor Haniza
title Topological indices of the non-commuting graph for generalised quaternion group
title_short Topological indices of the non-commuting graph for generalised quaternion group
title_full Topological indices of the non-commuting graph for generalised quaternion group
title_fullStr Topological indices of the non-commuting graph for generalised quaternion group
title_full_unstemmed Topological indices of the non-commuting graph for generalised quaternion group
title_sort topological indices of the non-commuting graph for generalised quaternion group
publisher Springer
publishDate 2020
url http://eprints.utm.my/id/eprint/93741/
http://dx.doi.org/10.1007/s40840-019-00872-z
_version_ 1720980118299475968
score 13.244414

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