Bounds of topological indices of tensor product of graph operations

Graph theory is nowadays a powerful tool in predicting a large number of physico-chemical properties of chemical compounds. There are various methods to quantify the molecular structures, of which the topological index is the most popular since it can be obtained directly from molecular structures and rapidly computed for large number of molecules. Among these indices, the Randić connectivity index is the most successful and commonly used degree-based molecular descriptor in structure-property and structure-activity relationships studies. In this paper, the lower and upper bounds for general Randić, general sum-connectivity and harmonic indices for tensor product of certain graph operations on graphs are determined.