Correlation between heat of formation and fifth geometric–arithmetic index

Abstract

The geometric–arithmetic indices are widely considered in the chemical graph theory in the last decade. The reason of introducing new indices is to gain prediction of target properties of considered molecules that is better than the prediction obtained by already known indices. In the case of the fifth geometric–arithmetic index hitherto no ability of prediction of some molecule property has been considered. In this paper we investigate correlations between the fifth geometric–arithmetic index and some other degree–based topological indices on the family of octane isomers and polyaromatic hydrocarbons. Since a very good correlation is established with the well-known atom–bond connectivity index for polyaromatic hydrocarbons and then for the alkane series, the relation between the heat of formation and the fifth geometric–arithmetic index is examined and a good correlation is confirmed in that case as well.

Keywords:

• Fifth geometric–arithmetic index
• atom–bond connectivity index
• heat of formation
• correlation

Additional information

Funding

The authors Matevž Črepnjak and Petra Žigert Pleteršek acknowledge the financial support from the Slovenian Research Agency, research core funding No. P1-0403 and No. P1-0297, J1-9109, respectively.