Second Order Randic Index of Benzenoid Systems

Abstract

Given \(S\) a benzenoid system, we find an expression of the second order Randić index, denoted by \(\mathop{^2\chi}(S)\), in terms of inlet features of \(S\). As a consequence, we classify benzenoid systems with equal \(\mathop{^2\chi}\) and then find the minimal and maximal value over the set of catacondensed systems.