Reduced Forgotten Topological Indices of some Dendrimers Structures

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Abstract

In computational chemistry, the molecular structures are modeled as graphs which are called the molecular graphs.A massive of early drug tests implies that there exist strong inner relationships between the bio-medical and pharmacology characteristics of drugs and their molecular structures. Dendrimers are highly branched nanostructures and are considered a building block in nanotechnology with a variety of suitable applications. Chemical graph theory is a branch of mathematical chemistry in which different tools from graph theory are used to model chemical phenomena mathematically. Dendrimers have a very well-defined chemical structure with three major architectural components. Dendrimers are considered one of the most important, commercially available building blocks in nanotechnology. A topological index can be considered as the transformation of chemical structure into a real number. 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 Reduced Forgotten Topological indices of poly(propyl) ether imine, porphyrin, and zinc-porphyrin dendrimers.

Keywords and Phrases

Topological index, Molecular graph, Degree Dendrimers.

A.M.S. subject classification

05C07, 05C90 and 92E10

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