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Abstract
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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.
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