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The degree-based topological indices correlate certain physico-chemical properties such as boiling point, strain energy and the stability etc. of certain chemical compounds. Among the major classes of topological indices are the distance based topological indices, the degree-based topological indices and counting related polynomials and corresponding indices of graphs. Among all the degree based indices, namely first general Zagreb index, general Rndić connectivity index, generaldoi:10.1139/cjc-2016-0032 fatcat:2rfxcy7o3nfqxedgxi5tsiwk6i