Abstract
The reduced reciprocal Randic (RRR) index is a molecular structure descriptor (or more precisely, a topological index), which is useful for predicting the standard enthalpy of formation and normal boiling point of isomeric octanes. In this paper, a mathematical aspect of RRR index is explored, or more specifically, the graph(s) having minimum RRR index is/are identified from the collection of all n-vertex connected bicyclic graphs for n >= 5. As a consequence, the best possible lower bound on the RRR index, for n-vertex connected bicyclic graphs is obtained when n >= 5. (C) 2018 University of Kashan Press. All rights reserved