Zafar IqbalFA19-RMT-037LHR TP 7434Dr. Muhammad Kamran Siddiqui2026-03-162021https://repository.cuilahore.edu.pk/handle/123456789/2857Graph theory is playing a key role in applied and pure mathematics. The scope of graph theory is expanding day by day. In this thesis we computed some topological indices like as First and Second zagreb index, First and Second zagreb co-index, First and Second multiplicative zagreb index, Forgotten topological index, Hyper zagreb index, Atom bond connectivity index, Geometric arithmetic index, augmented zagreb index, Balaban index, general Randic index for ∝= 1, −1, 1 2 , − 1 2 and Redefined first, second and third zagreb index for some chemical graphs like as Hydroxy chloroquine, Chloroquine, H-Naphtalenic Nanosheet and Dexamethasone. My thesis comprising of four chapters. In the first chapter we will define some fundamental definitions and we will see the literature review. In the 2nd chapter, we will find indices for the chemical graph of Hydroxy chloroquine and Chloroquine and then we will draw the numerically and graphically comparison of different indices. In the 3rd chapter, we will find indices for the chemical graph of H-Naphtalenic nanosheet and Dexamethasone and then we will draw the numerically and graphically comparison of different indices. In the 4th chapter, we will present the conclusion of our thesis. At the last we will represent the reference of our thesis.enDr. Muhammad Kamran Siddiquifa19Department of MathematicsMATHEMATICSThesis