A new algorithm for computing distance matrix and Wiener index of zig-zag polyhex nanotubes

  • AliReza Ashrafi1Email author and

    Affiliated with

    • Shahram Yousefi2

      Affiliated with

      Nanoscale Research Letters20072:202

      DOI: 10.1007/s11671-007-9051-y

      Received: 31 December 2006

      Accepted: 20 February 2007

      Published: 10 April 2007

      Abstract

      The Wiener index of a graph G is defined as the sum of all distances between distinct vertices of G. In this paper an algorithm for constructing distance matrix of a zig-zag polyhex nanotube is introduced. As a consequence, the Wiener index of this nanotube is computed.

      Keywords

      Zig-zag polyhex nanotube Distance matrix Wiener index

      [119]

      Declarations

      Acknowledgements

      We would like to thank from referees for their helpful remarks and suggestions. This work was partially supported by the Center of Excellence of Algebraic Methods and Applications of the Isfahan University of Technology.

      Authors’ Affiliations

      (1)
      Institute for Nanoscience and Nanotechnology, University of Kashan
      (2)
      Center for Space Studies, Malek-Ashtar University of Technology

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      Copyright

      © to the authors 2007