All graphs considered in this paper are finite, simple, and connected unless otherwise specified. A graph, denoted as G = (V, E), consists of sets where the elements of V represent the nodes of the graph, and the elements of E represent its edges. Undoubtedly, concepts from graph theory hold vast potential for various applications. For example, a chemical graph serves as a model for representing chemical systems: atoms are represented as nodes of the graph, while molecular bonds are depicted as edges. In this context, topological indices serve to quantify the structural information inherent in the graph, regardless of the specific numbering assigned to nodes and edges. In 1947, Wiener pioneered the use of topological indices to investigate certain physico-chemical properties of alkanes, thereby laying the foundation for chemical graph theory . Since then, numerous topological indices have been introduced and extensively studied to enhance our comprehension of molecular structure . Nowadays, the characterization of molecular structure through topological indices is a fundamental aspect of chemical graph theory. Consequently, this theory plays a pivotal role in designing molecular structures tailored to exhibit desired physico-chemical or biological properties.