Atom-bond connectivity index versus Graovac-Ghorbani analog

Abstract

The atom-bond connectivity index was introduced almost twenty years ago as an improvement of the well-known Randić index. Its mathematical properties and theory are well established and chemical usefulness confirmed in various research projects. On the other hand, recently introduced quantity that was named as second \(ABC\) index resembles to the original-one, but it is not validated anywhere as a molecular descriptor. Also its mathematical properties are examined to a limited extent. This paper is devoted to the comparison of these two topological invariants.