Shahid Rajaee Teacher Training UniversityJournal of Discrete Mathematics and Its Applications2981-080921-220120601The augmented eccentric connectivity index of nanotubes and nanotori1846510.22061/jmns.2012.465ENSuleyman EdizDepartment of Mathematics, Yüzüncü Yıl University, Van 65080, TurkeyJournal Article20111104Let G be a connected graph, the augmented eccentric connectivity index is a topological index was defined as $\zeta(G)=\sum_{i=1}^nM_i/E_i$, where Mi is the product of degrees of all vertices v<sub>j</sub>, adjacent to vertex v<sub>i</sub>, E<sub>i</sub> is the largest distance between vi and any other vertex v<sub>k</sub> 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 TUC4C8(S) nanotube and TC4C8(R) nanotorus are given.https://jdma.sru.ac.ir/article_465_6c646b1105719b9fcfc9eb7c3ef4bba5.pdf