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 ${}^2\chi (S)$, in terms of inlet features of $S$. As a consequence, we classify benzenoid systems with equal ${}^2\chi$ and then find the minimal and maximal value over the set of catacondensed systems.