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Open AccessArticle

On Degree-Based Topological Indices of Symmetric Chemical Structures

1
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
2
Department of Mathematics, Government College University, Faisalabad 38000, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(11), 619; https://doi.org/10.3390/sym10110619
Received: 18 October 2018 / Revised: 6 November 2018 / Accepted: 6 November 2018 / Published: 9 November 2018
(This article belongs to the Special Issue Symmetry in Graph Theory)
A Topological index also known as connectivity index is a type of a molecular descriptor that is calculated based on the molecular graph of a chemical compound. Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant. In QSAR/QSPR study, physico-chemical properties and topological indices such as Randić, atom-bond connectivity (ABC) and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we study HDCN1(m,n) and HDCN2(m,n) of dimension m , n and derive analytical closed results of general Randić index R α ( G ) for different values of α . We also compute the general first Zagreb, ABC, GA, A B C 4 and G A 5 indices for these Hex derived cage networks for the first time and give closed formulas of these degree-based indices. View Full-Text
Keywords: general randić index; atom-bond connectivity (ABC) index; geometric-arithmetic (GA) index; Hex-Derived Cage networks; HDCN1(m,n), HDCN2(m,n) general randić index; atom-bond connectivity (ABC) index; geometric-arithmetic (GA) index; Hex-Derived Cage networks; HDCN1(m,n), HDCN2(m,n)
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Liu, J.-B.; Ali, H.; Shafiq, M.K.; Munir, U. On Degree-Based Topological Indices of Symmetric Chemical Structures. Symmetry 2018, 10, 619.

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