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Molecules 2016, 21(7), 821;

On Topological Indices of Certain Families of Nanostar Dendrimers

School of Informatics and Applied Mathematics, University Malaysia Terengganu, Kuala Terengganu, Terengganu 21030, Malaysia
Department of Mathematics, College of Computer Sciences and Mathematics, Tikrit University, Tikrit 34001, Iraq
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan
Author to whom correspondence should be addressed.
Academic Editor: Ashok Kakkar
Received: 6 March 2016 / Revised: 11 May 2016 / Accepted: 7 June 2016 / Published: 24 June 2016
(This article belongs to the Special Issue Functional Dendrimers)
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A topological index of graph G is a numerical parameter related to G which characterizes its molecular topology and is usually graph invariant. In the field of quantitative structure-activity (QSAR)/quantitative structure-activity structure-property (QSPR) research, theoretical properties of the chemical compounds and their molecular topological indices such as the Randić connectivity index, atom-bond connectivity (ABC) index and geometric-arithmetic (GA) index are used to predict the bioactivity of different chemical compounds. A dendrimer is an artificially manufactured or synthesized molecule built up from the branched units called monomers. In this paper, the fourth version of ABC index and the fifth version of GA index of certain families of nanostar dendrimers are investigated. We derive the analytical closed formulas for these families of nanostar dendrimers. The obtained results can be of use in molecular data mining, particularly in researching the uniqueness of tested (hyper-branched) molecular graphs. View Full-Text
Keywords: atom-bond connectivity index; geometric arithmetic index; dendrimer atom-bond connectivity index; geometric arithmetic index; dendrimer

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Husin, M.N.; Hasni, R.; Arif, N.E.; Imran, M. On Topological Indices of Certain Families of Nanostar Dendrimers. Molecules 2016, 21, 821.

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