Computation of degree‐based topological indices for the complex structure of ruthenium bipyridine

Abstract In graph theory, a topological index is an important descriptor that helps analyze the physicochemical properties of the structure of chemical compounds through a chemical graph. Degree‐based topological indices have been extensively studied and linked to a variety of chemical properties. This work aims to construct a complex ruthenium‐bipyridine polymer structure involving triphenylamine, which will be useful in the manufacture of organic light‐emitting diodes, solar cells, organic field‐effect transistors, and photorefractive materials, especially as hole transport material. In order to study this novel complex ruthenium bipyridine structure, we employ a reliable mathematical tool called M‐polynomial and NM‐polynomial of the topological index, which displays some physical and chemical properties in numerical form.