Abstract
Graph theory is used for modeling, designing, analysis and understanding chemical structures or chemical networks and their properties. The molecular graph is a graph consisting of atoms called vertices and the chemical bond between atoms called edges. In this article, we study the chemical graphs of carbon graphite and crystal structure of cubic carbon. Moreover, we compute and give closed formulas of degree based additive topological indices, namely hyper-Zagreb index, first multiple and second multiple Zagreb indices, and first and second Zagreb polynomials.
Highlights
Chemical graph theory has a variety of applications in the study of chemical compounds
Graph theory plays the role of the mathematical part for modeling and designing of chemical structures and complex networks
The chemical graph theory applies combinatorial and geometrical graph theory to the mathematical modeling of molecular phenomena, which is helpful for the study of molecular structure
Summary
Chemical graph theory has a variety of applications in the study of chemical compounds. A topological index is a numeric number, which indicates some useful information about shape and analysis of molecular structure. Zagreb polynomials were characterized to be utilized as a part of the investigation of medication sub-atomic structures, which is very useful for pharmaceutical and medicinal researchers to get a handle on the organic and synthetic attributes of new medications. Such techniques are prevalently utilized in creating countries where enough cash is needed to manage the cost of the relevant chemical. Indices and M1 ( G, x ), M1 ( G, x ) polynomials, the reader is advised to see [15,16,17,18,19,20,21,22,23]
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