Three- Center Harary Index and its Applications

The harary index h can be viewed as a molecular structure descriptor composed of increments representing interactions between pairs of atoms, such that their magnitude decreases with the increasing distance between the respective two atoms. a generalization of the harary index, denoted by hk, is achieved by employing the steinertype distance between k-tuples of atoms. we show that the linear combination h + גh3 is significantly better correlated with a variety of physico-chemical properties of alkanes thanh itself.