Mehwish Perveen (CIIT/FA20-BSM-032/LHR, Mehwish Majeed (CIIT/FA20-BSM-051/LHR)Dr. Maqsood AhmadLHR TP 99042026-01-062024https://repository.cuilahore.edu.pk/handle/123456789/286In the field of chemical graph theory, a Topological index is a numerical value obtained through a mathematical formula involving vertex degrees, distance, spectrum, and their combination. These values are extracted from the molecular graph of a chemical com- pound and are instrumental in the QSPR/QSAR analysis. Operations on the graphs enables us to construct new and valuable molecular graphs of future chemical compounds. A fas- cinating area of inquiry in chemical graph theory is determining the closed form formulas and bounds of relevant topological indices within a specific family of graphs. Our project focuses on computing the exact formulas of the Y-index for F-sum related to tensor product, and we have included various examples to verify our findings.enDepartment of MathematicsFA20MathematicsHyper Zagreb IndexFour Graph OperationsDr. Maqsood AhmadBounds on Second Hyper Zagreb Index for Four Graph OperationsThesis