On Topological Indices of Certain Dendrimer Structures

Author:

Aslam Adnan1,Bashir Yasir2,Ahmad Safyan3,Gao Wei4

Affiliation:

1. Department of Natural Sciences , University of Engineering and Technology , Lahore (RCET) , Lahore 54000 , Pakistan

2. Department of Mathematics , CIIT, WAh Cantt , Pakistan

3. Abdus Salam School of Mathematical Sciences , GC University Lahore , Pakistan

4. School of Information Science and Technology , Yunnan Normal University , Kunming, Yunnan , China

Abstract

Abstract A topological index can be considered as transformation of chemical structure in to real number. In QSAR/QSPR study, physicochemical properties and topological indices such as Randić, Zagreb, atom-bond connectivity ABC, and geometric-arithmetic GA index are used to predict the bioactivity of chemical compounds. Dendrimers are highly branched, star-shaped macromolecules with nanometer-scale dimensions. Dendrimers are defined by three components: a central core, an interior dendritic structure (the branches), and an exterior surface with functional surface groups. In this paper we determine generalised Randić, general Zagreb, general sum-connectivity indices of poly(propyl) ether imine, porphyrin, and zinc-Porphyrin dendrimers. We also compute ABC and GA indices of these families of dendrimers.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Reference26 articles.

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2. H. J. Wiener, J. Am. Chem. Soc. 69, 17 (1947).

3. M. Randić, J. Am. Chem. Soc. 97, 6609 (1975).

4. I. Gutman and N. Trinajstić, Chem. Phys. Lett. 17, 535 (1972).

5. A. T. Balaban, I. Motoc, D. Bonchev, and O. Mekenyan, Topics Curr. Chem. 114, 21 (1983).

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