Calculation of topological indices based on M-polynomial for polytrimethylene terephthalate

Abstract. Polytrimethyleneterephthalate is an extensively utilized thermoplastic industrial polymer characterized by a low melting point and minimal water absorption and it follows the general molecular formula (C11H10O4)n. It is interesting to chemists and engineering researchers due to its application in various industries, especially in textiles and engineering thermoplastics. In this article, the general formulas of some degree-based topological indices are obtained via M-polynomials for Polytrimethylene terephthalate. Calculating indices via these formulas does not require counting the degree of vertices or edge partitioning and can only be calculated by having the number of polytrimethylene terephthalate monomers. The obtained results are displayed numerically and graphically, then the topological indices are graphically compared.