On degree-and-distance-based topological indices

Abstract

In addition to a great variety of degree-based and distance-based molecular structure descriptors, there are a few degree-and-distance-based topological indices. Two main such indices are the degree distance (DD) and the Gutman index (ZZ). Their mutual relations are analyzed and several new such relations established. It is shown that by conveniently chosen linear combinations of DD, ZZ and the Wiener index, it is possible to calculate several chemically interesting structural properties of molecular graphs. (Formula presented).