University of KashanIranian Journal of Mathematical Chemistry2228-64899320180901On the Bicyclic Graphs with Minimum Reduced Reciprocal Randic Index2272397359510.22052/ijmc.2018.141455.1378ENA.AliUniversity of Management & Technology Sialkot, Pakistan0000-0001-8160-4196S.ElumalaiVelammal Engineering College, Surapet, Chennai-66 Tamil Nadu, IndiaS.WangDepartment of Mathematics, Savannah State University Savannah, GA 31404, USAD.DimitrovHochschule fur Technik und Wirtschaft, Berlin, Germany
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Faculty of Information Studies, Novo Mesto, SloveniaJournal Article20180720The 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≥5. As a consequence, the best possible lower bound on the RRR index, for n–vertex connected bicyclic graphs is obtained when n≥5.https://ijmc.kashanu.ac.ir/article_73595_63132a57f5046b8d29de08c6850fb0dc.pdf