(University of Management and Technology, 2018) Sohail, Raheela
Let G = (V (G); E(G)) be a simple connected graph, where V (G) is the set of vertices and E(G) is the set of edges. A topological index of a graph is a num-ber related to a graph which is invariant under graph automorphisms. In this thesis, we give theoretical results for some topological indices such as geometric-arithmetic index GA(G), fth geometric-arithmetic index GA5(G), atom-bond con-nectivity index ABC(G), fourth atom-bond connectivity index ABC4(G), Zagreb indices M1(G), M2(G), M3(G), M1(G), M2(G), Zagreb coindices M1(G), M2(G),
M2(G), Randic index R(G), hyper-Zagreb index HM(G), general sum-connectivity index (G) and augumented Zagreb index AZI(G) by considering graph G as a line graph of V phenylenic nanotube, V phenylenic nanotorus, linear pentacene and multiple pentacene.