Abstract
We have developed rigorous mathematical and computational techniques to obtain exact analytic expressions for a number of degree and distance-based topological indices of inorganic chemical networks and nanomaterials which are newly emerging areas of reticular chemistry. Derivations of these degree and distance-based topological indices of such chemical structures fall under a larger family of partial cubes for which only limited information is currently available. In the present study this gap is filled by developing a new method based on vertex decomposition and computing the degree and distance-based topological indices for polymeric chains, cyclic and double chain silicates, silicate and oxide networks as a function of n, the order of circumscribing.
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