Ali, Akbar; Elumalai, Suresh; Wang, Shaohui; Dimitrov, Darko On the bicyclic graphs with minimum reduced reciprocal randic index. (English) Zbl 1407.92154 Iran. J. Math. Chem. 9, No. 3, 227-239 (2018). Summary: The reduced reciprocal Randić (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 \(n\geq 5\). As a consequence, the best possible lower bound on the RRR index, for \(n\)-vertex connected bicyclic graphs is obtained when \(n\geq 5\). Cited in 1 Document MSC: 92E10 Molecular structure (graph-theoretic methods, methods of differential topology, etc.) 05C90 Applications of graph theory Keywords:chemical graph theory; molecular structure descriptor; topological index; reduced reciprocal Randić index; bicyclic graph PDFBibTeX XMLCite \textit{A. Ali} et al., Iran. J. Math. Chem. 9, No. 3, 227--239 (2018; Zbl 1407.92154) Full Text: DOI