A novel computational study of reverse degree topological indices and entropies for nanostar dendrimers.

This paper is a topological study of nanostar dendrimers in the context of topological indices based on reverse degree. Nanostar dendrimers with highly branched structures and potential use in drug delivery and nanotechnology offer a challenge to structural analysis in terms of their complexity. The main aim of the work is to calculate and discuss some topological indices in reverse form, which can be used to obtain the necessary information concerning the molecular structure, the pattern of branches, and the connectivity. The indices are a good source of quantitative information on the hidden topology of nanostar dendrimers and their effects on chemical and physical characteristics. The findings indicate that reverse degree-based indices are very useful in defining the complex topological distributions of dendrimers, hence providing a strong mathematical framework, which contributes to subsequent developments in nanomaterials studies and their potential applications. Entropy-based topological measurements of polypropylenimine octaamine dendrimers and fullerene dendrimers have great advantages to chemists as a quantitative characterization of the molecular complexity, branching behaviors, and structural anomalies. Entropy measures based on degree-based edge partitions give the distribution of atomic connectivity and provide a rigorous method of comparing highly branched dendritic networks and cage-like carbon structures. We compute molecular entropies for polypropylenimine octaamine dendrimers and fullerene dendrimer networks.