Comparative Study of Generalized Sum Graphs via Degree-Based Topological Indices

In theoretical chemistry, topological indices (TIs) have important role to predict various physical and structural properties of the study under molecular graphs. Among all topological indices, Zagreb-type indices have been used more effectively in the chemical literature. In this paper, we have computed first Zagreb, second Zagreb, forgotten, and hyper Zagreb indices of the generalized Q-sum graph (H1(Q alpha)H2 in the form of different TIs of its basic graphs, where alpha & GE;1 is a positive integer. This family of graphs is obtained by the lexicographic product of the graph Q(alpha)(H-1) and H-2, where Q(alpha)(H-1) is constructed with the help of the generalized line superposition operation Q(alpha) on H-1. As a conclusion, we also checked the correlation between predefined graph H-1[H-2] under the operation of lexicographic product H-1 and H-2 with newly defined generalized Q-sum graphs (H-1(Q alpha)[H-2]) using linear regression models of various degree-based TIs.