Abstract
The invention of new nanostructures gives a key measurement to industry, electronics, pharmaceutical and biological therapeutics. By considering the importance of this key point, in here we compute the 2D-lattice, nanotube and nanotorus of TUC4C8[p, q] over the graphs Q(G) and R(G) in terms of certain topological indices, namely first, second and third Zagreb indices, hyper Zagreb index and forgotten topological index. These indices are numerical propensity that often characterizes the quantitative structural activity/property/toxicity relationships, and also correlates physico-chemical properties such as boiling point, melting point and stability of respective nanostructures.