Suleyman Ediz - Department of Mathematics, Yüzüncü Yıl University, Van ۶۵۰۸۰, Turkey

Let G be a connected graph, the augmented eccentric connectivity index is a topological index was defined as \zeta(G)=\sum_{i=۱}^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 TUC۴C۸(S) nanotube and TC۴C۸(R)  nanotorus are given.

Augmented eccentric connectivity index, Nanotube, Nanotorus