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Abstract

Mathematical modeling with the help of numerical coding of graphs has been used in different fields of science, especially in chemistry for the studies of molecular structures. A special type of graph invariant called the topological index is the collection of data on algebraic graphs and provides a mathematical way to understand chemical structural features. In chemical graph theory, the topological index is a type of molecular descriptor calculated based on the graph of chemical compounds. Topological indices help us collect information about algebraic graphs and give us a mathematical approach to understand the properties of algebraic structures. With the help of topological indices, we can guess the properties of chemical compounds without experimenting in a wet lab. In this study, the conglomerate researchers present the exponential dominance of graphene and armchair polyhex nanotube structures in first and second reduced (a, b)-KA indices. Also calculate the Zagreb index, hyper Zagreb index, reduced hyper Zagreb index, reciprocal reduced product connectivity index, and general reduced Zagreb index. Additionally, we get specific graph indices directly as exceptional values of a and b when introducing these structures.

Keywords

(a, b)-KA indices, Armchair, Distance degree, Domination, Graphene

Subject Area

Mathematics

Article Type

Article

First Page

3045

Last Page

3056

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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