Sombor Indices and Entropy Measures of Tetrahedral Diamond Lattices: Analytical and Graphical Insights

The crystal form of a diamond is a face-centered lattice. The atoms in diamonds are arranged in a diamond cubic crystal structure. Each carbon atom in a diamond is surrounded by four other carbon atoms that are joined by covalent bonds. Topological indices are widely employed to present molecular characteristics in cheminformatics. In QSAR/QSPR study, topological indices are utilized to predict the bioactivity of chemical compounds. For determining the structural information of molecular graphs and complex networks, graph entropies with topological indices are used. The graph entropy measures play an important role in a variety of problem areas including, discrete mathematics, biology, and chemistry. In this paper the exact analytical expressions for Sombor indices and their entropy measures for the graph of tetrahedral diamond lattices are computed.