The augmented eccentric connectivity index of nanotubes and nanotori

Document Type : Full Length Article

Author

Department of Mathematics, Yüzüncü Yıl University, Van 65080, Turkey

Abstract

Let G be a connected graph, the augmented eccentric connectivity index is a topological index was defined as $\zeta(G)=\sum_{i=1}^nM_i/E_i$, where Mi is the product of degrees of all vertices vj, adjacent to vertex vi, Ei is the largest  distance between vi and any other vertex vk of G or the eccentricity of i v and n is the number of vertices in graph G. In this paper exact formulas for the augmented eccentric connectivity index of TUC4C8(S) nanotube and TC4C8(R)  nanotorus are given.

Graphical Abstract

The augmented eccentric connectivity index of nanotubes and nanotori

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References

References
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Journal of Discrete Mathematics and Its Applications
Volume 2, 1-2
June 2012
Pages 1-8

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History

  • Receive Date: 04 November 2011
  • Revise Date: 13 April 2012
  • Accept Date: 16 May 2012
  • Publish Date: 01 June 2012

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