The Wiener and Szeged indices of hexagonal cored dendrimers

Document Type: Original Article

Author

Arak University

Abstract

A topological index of a molecule graph G is a real number which is invariant under graph isomorphism. The Wiener and Szeged indices are two important distance based topological indices applicable in nanoscience. In this paper, these topological indices is computed for hexagonal cored dendrimers.

Graphical Abstract

The Wiener and Szeged indices of hexagonal cored dendrimers

Keywords


[1] H. Hosoya, Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons. Bull. Chem. Soc. Japan, 44 (1971) 2332-2339.
[2] H. Wiener, determination of paraffin boiling points, J. Am. Chem. Soc., 69 (1947) 17-20.
[3] I. Gutman, A formula for the Wiener number of trees and its extension to graphs containing cycles, Graph Theory Notes, 27 (1994) 9-15.
[4] F. Vogtle (Ed.), Topics in Current Chemistry, Dendrimers II: Architecture, Nanostructure and Supramolecular Chemistry, No. 210, Springer-Verlag, Berlin (2000).
[5] M. V. Diudea (Ed.), Nanostructures: Novel Architecture, Nova, New York, 2006.
[6] A. Heydari, I. Gutman, On the terminal Wiener index of thorn graphs, Kragujevac J. Sci., 32 (2010) 57-64.
[7] H. Yousefi-Azari, A.R. Ashrafi and M.H. Khalifeh, Computing vertex-PI index of single and multi-walled nanotubes, Digest Journal of Nanomaterials and Biostructures, 3(4) (2008) 315-318.
 


Volume 7, Issue 2
Summer and Autumn 2017
Pages 97-101
  • Receive Date: 14 August 2017
  • Revise Date: 28 October 2017
  • Accept Date: 14 November 2017