On the Atom Bond Connectivity Index of Titania Nanotubes TiO2 (m, n)

  • Mohammad Reza Farahani Department of Applied Mathematics, Iran University of Science and Technology (IUST),Narmak,Tehran 16844,Iran.
  • Mehdi Rezaei Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran.
  • Muhammad Kamran Jamil Department of Mathematics, Riphah Institute of Computing and Applied Sciences (RICAS), Riphah International University, 14 Ali Road, Lahore, Pakistan
  • Hafiz Mutee ur Rehman Department of Mathematics & Statistics, The University of Lahore, Lahore,Pakistan
  • Muhammad Imran Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates
Keywords: Molecular graph, Titania Carbon Nanotubes TiO2(m,n), Orthogonal cuts, atom-bond connectivity index


Let G(V,E) be a simple molecular graph, for a graph G(V,E) with vertex(atom) set V and the edge(bond) set E, the third version of atom bond connectivity index is defined as   where mv is the number of edges of G lying near to u than to v. In this research paper, we compute the third version of atomic-bond connectivity index of the Titania Nanotubes TiO2(m,n).

How to Cite
Farahani, M. R., Rezaei, M., Jamil, M. K., Rehman, H. M. ur, & Imran, M. (2018). On the Atom Bond Connectivity Index of Titania Nanotubes TiO2 (m, n). Iraqi Journal of Science, 58(4C), 2392-2400. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/56