calculation of topological indices based on m-polynomial for polytrimethylene terephthalate

Abstract. polytrimethyleneterephthalate is an extensively utilized thermoplastic industrial polymercharacterized by a low melting point and minimal water absorption and it follows the generalmolecular formula (c11h10o4)n. it is interesting to chemists and engineering researchers due to itsapplication 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-polynomialsfor polytrimethylene terephthalate. calculating indices via these formulas does not require countingthe degree of vertices or edge partitioning and can only be calculated by having the numberof polytrimethylene terephthalate monomers. the obtained results are displayed numerically andgraphically, then the topological indices are graphically compared.