Title : ( Topological Indices of the Non-commuting Graph for Generalised Quaternion Group )
Authors: Nor Haniza Sarmin , Nur Idayu Alimon , Ahmad Erfanian ,
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Abstract
Atopologicalindexisanumericalvalueassociatedwithchemicalconstitutionforcorrelationofchemicalstructurewithvariousphysicalpropertiesandchemicalreactivity. Itiscalculatedfromagraphrepresentingamolecule.Meanwhile,thenon-commuting graph, G of G, is dened 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 sometopologicalindices,namelyWienerindex,rstZagrebindexandsecondZagreb index for the non-commuting graph associated with generalised quaternion group in terms of n.
Keywords
, Wiener index, Zagreb index, Non-commuting graph, Generalised quaternion group
@article{paperid:1078623,
author = {Nor Haniza Sarmin and Nur Idayu Alimon and Erfanian, Ahmad},
title = {Topological Indices of the Non-commuting Graph for Generalised Quaternion Group},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
year = {2019},
volume = {43},
number = {5},
month = {December},
issn = {0126-6705},
pages = {3361--3367},
numpages = {6},
keywords = {Wiener index; Zagreb index; Non-commuting graph; Generalised quaternion group},
}
%0 Journal Article
%T Topological Indices of the Non-commuting Graph for Generalised Quaternion Group
%A Nor Haniza Sarmin
%A Nur Idayu Alimon
%A Erfanian, Ahmad
%J Bulletin of the Malaysian Mathematical Sciences Society
%@ 0126-6705
%D 2019
