Augmented eccentric connectivity index of Fullerenes

Document Type : Full Length Article

Author

Department of Mathematics, Faculty of Science, Persian Gulf University

Abstract

Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The augmented eccentric connectivity index of graph G is defined as £(G)=∑u εV(G)M(u)ε(u)-1, where ε(u)  is defined as the length of a maximal path connecting u to another vertex of G and M(u) denotes the product of degrees of all eighbors of vertex u. In the present paper , we compute the augmented eccentric connectivity index of two classes of fullerenes C12n+2 and C20n+40.

Graphical Abstract

Augmented eccentric connectivity index of Fullerenes

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References

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Journal of Discrete Mathematics and Its Applications
Volume 4, 1-2
June 2014
Pages 13-18

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History

  • Receive Date: 19 November 2013
  • Revise Date: 23 February 2014
  • Accept Date: 05 May 2014
  • Publish Date: 01 June 2014

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