Urooj Akram,FA16-RMT-005Dr. Syed Tahir Raza Rizvi, Assistant Profesorlhr tp 51792026-04-272020https://repository.cuilahore.edu.pk/123456789/3699Topological Indices Related to Graph Operations In this thesis we find out the atomic bond connectivity index, Randic index, augmented Zegreb index, geometric arithmetic index and product connectivity index for sum and corona of any two connected graphs. By using neighborhood degree we formulate fourth version of atomic bond connectivity index ABC4 and fifth version of geometric arithmetic index GA5 of sum of two graphs. We also formulate atomic bond connec tivity index for product of any two regular graphs . Furthermore, we formulate new atomic bond connectivity index of F-sum of cycle (Cm) and path (Pn) graphs. At the end we calculate new atomic bond connectivity index ABC5 depending on graphs kC8 where k are the stages ofC8 depends on straight chain and pairwise zigzag chainendepartment of mathematicsNew Solitary Wave Solution For Nonlinear SchrodingFA16-RMT-005Dr. Syed Tahir Raza Rizvilhr tp 5179Thesis