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Nowadays, computer-aided design for productions in every field is a trend investigation area. Owing to this, it is possible to avoid from losts such as time and budget, arising from long and costly experimental processes. Using graph theory applications is one of the methods contributing to this aim.

Graph theory is related to the modeling of objects and relations of each object with each other by representing each object as a vertex and each relation of objects as an edge. The concept of topological index, which takes place in chemical graph theory, succeeds to