University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 7 1 2016 03 01 Three-center Harary Index and its Applications 61 68 12402 10.22052/ijmc.2016.12402 EN B. Furtula Faculty of Science, University of Kragujevac I. Gutman Faculty of Science, University of Kragujevac, Kragujevac, Serbia V. Katanic Faculty of Science, University of Kragujevac Journal Article 2015 11 18 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 Steiner-type distance between k-tuples of atoms. We show that the linear combination H+x H3 is significantly better correlated with a variety of physico-chemical properties of alkanes than H itself. https://ijmc.kashanu.ac.ir/article_12402_ff64ec64188304a21bed1c7a4b1c22e4.pdf