رضا شرف دینی

In theoretical chemistry, molecular structure descriptors are used for modeling physio-chemical, pharmacologic, toxicological, biological and other properties of chemical compound. The augmented eccentric connectivity index of graph G is defined as where e(u) is defined as the length of a maximal path connecting u to another vertex of G. Fullerenes are molecules in the form of cage-like polyhedra, consisting solely of carbon atoms bonded in a nearly spherical configuration. In this paper we compute some bounds of the augmented eccentric connectivity index and then we calculate this topological index for two infinite classes of fullerenes.