Alimon, Nur Idayu and Sarmin, Nor Haniza and Erfanian, Ahmad (2019) The Wiener and Zagreb indices of conjugacy class graph of the dihedral groups. MATEMATIK, 35 (April). pp. 5157. ISSN 01279602

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Official URL: https://dx.doi.org/10.11113/matematika.v35.n1.1102
Abstract
Topological indices are numerical values that can be analysed to predict the chemical properties of the molecular structure which are computed for a graph related to groups. Meanwhile, the conjugacy class graph of G is defined as a graph with a vertex set represented by the noncentral conjugacy classes of G. Two distinct vertices are connected if they have a common prime divisor. The main objective of this article is to find various topological indices including the Wiener index, the first Zagreb index and the second Zagreb index for the conjugacy class graph of dihedral groups of order 2n where the dihedral group is the group of symmetries of regular polygon, which includes rotations and reflections. Many topological indices have been determined for simple and connected graphs in general but not graphs related to groups. In this article, the Wiener index and Zagreb index of conjugacy class graph of dihedral groups are generalized.
Item Type:  Article 

Uncontrolled Keywords:  Wiener index, Zagreb index, conjugacy class graph, dihedral groups 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  84840 
Deposited By:  Fazli Masari 
Deposited On:  29 Feb 2020 12:39 
Last Modified:  29 Feb 2020 12:39 
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