The theory of networks provides a mathematical basis for building and modeling the chemical structures and complex networks. Topological indices (TIs) are employed in several physicochemical applications, particularly for characterizing and modeling the chemical structures of diverse molecular compounds, including dendrimers. Dendrimers are intentionally synthesized or combined natural macromolecules characterized by a series of branching layers around a central core. In this manuscript, we calculate various connection-based Zagreb indices (ZIs), including the atom-bond connectivity connection index (ABCCI), geometric-arithmetic connection index (GACI), augmented connection index (ACI), symmetric division connection index (SDCI), harmonic connection index (HCI), inverse sum connection index (ISCI), and hyper Zagreb connection index (HZCI). Additionally, we discuss the connection-based ZIs for one of the most significant types of dendrimers, namely Tetrathiafulvalene (TTF) dendrimers. In addition, we provide a detailed numerical and graphical comparative analysis of the calculated results for TTF dendrimers, highlighting their performance and potential advantages in various applications.
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