Distance-based topological indices of the tree-like polyphenyl systems

Topological indices based on the distances between vertices(atoms) of a molecular graph are widely used for characterizing molecular graphs and their fragments, establishing relationships between structures and properties of molecules, predicting biological activity of chemical compounds, and making other chemical applications. Polyphenyls are a kind of macrocyclic aromatic hydrocarbons and their derivatives are very important organic chemicals, which can be used in organic synthesis, drug synthesis, heat exchanger, etc. In this paper we investigate the relationships between the Wiener index and other distance-based topological indices in the tree-like polyphenyl systems and obtain some exactly formulae on the relationships. (C) 2016 Elsevier Inc. All rights reserved.