Recently, nano structures have opened new dimensions in industry, electronics, and pharmaceutical and biological therapeutics. The topological graph indices are numerical tendencies that often depict quantitative structural activity/property/toxicity relationships and correlate certain physio-chemical properties such as boiling point, stability, and strain energy, of respective nano-material. In this article, we established closed forms of various degree-based topological graph indices of nano-structures of 2D-lattice, nano-tube and nano-torus of TUC4C8[r,s].
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