<p>Inorganic networks such as silicate and oxide structures are of significant interest in scientific and industrial domains due to their structural diversity and stability. In this study, we employ graph-theoretical techniques to analyze the structural properties of these networks using face degree topological indices and their reverse degree modifications. The relationship between these indices and graph energies is investigated to gain insights into molecular stability and reactivity. Predictive mathematical models are developed to estimate the graph energies of higher dimensional networks based on the computed indices. The results reveal strong correlations between face degree indices and graph energies, offering a robust framework for predicting the graph energy of silicate and oxide structures.</p>