title: On Topological Indices of Certain Families of Nanostar Dendrimers.
abstract: 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.
authors.affiliation: School of Informatics and Applied Mathematics, University Malaysia Terengganu, Kuala Terengganu, Terengganu 21030, Malaysia. naz_reyhusin@yahoo.com.
authors.forename: Mohamad Nazri
authors.initials: MN
authors.lastname: Husin
authors.affiliation: School of Informatics and Applied Mathematics, University Malaysia Terengganu, Kuala Terengganu, Terengganu 21030, Malaysia. hroslan@umt.edu.my.
authors.forename: Roslan
authors.initials: R
authors.lastname: Hasni
authors.affiliation: Department of Mathematics, College of Computer Sciences and Mathematics, Tikrit University, Tikrit 34001, Iraq. nabarif@yahoo.com.
authors.forename: Nabeel Ezzulddin
authors.initials: NE
authors.lastname: Arif
authors.affiliation: Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan. imrandhab@gmail.com.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Imran
mesh_terms: D000465:Algorithms; D050091:Dendrimers / Q000737:chemistry*; D008956:Models, Chemical
chemical_list: D050091:Dendrimers
keywords: atom-bond connectivity index; dendrimer; geometric arithmetic index