On Topological Indices of Certain Families of Nanostar Dendrimers

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 che...

Full description

Bibliographic Details
Main Authors: Mohamad Nazri Husin, Roslan Hasni, Nabeel Ezzulddin Arif, Muhammad Imran
Format: Article
Language:English
Published: MDPI AG 2016-06-01
Series:Molecules
Subjects:
Online Access:http://www.mdpi.com/1420-3049/21/7/821
Description
Summary: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.
ISSN:1420-3049