Connective eccentric index of fullerenes

Document Type : Original Article


Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785 – 136, I. R. Iran


Fullerenes are carbon-cage molecules in which a number of carbon atoms are bonded in a nearly spherical configuration. The connective eccentric index of graph G is defined as C (G)= Σa V(G)deg(a)ε(a) -1, where ε(a) is defined as the length of a maximal path connecting a to another vertex of G. In the present paper we compute some bounds of the connective eccentric index and then we calculate this topological index for two infinite classes of fullerenes.

Graphical Abstract

Connective eccentric index of fullerenes


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Volume 1, 1-2
June 2011
Pages 43-50
  • Receive Date: 16 January 2011
  • Revise Date: 09 February 2011
  • Accept Date: 13 March 2011
  • Publish Date: 01 June 2011