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Journal of Nanotechnology
Volume 2016, Article ID 3129561, 6 pages
Research Article

Computing the Reverse Eccentric Connectivity Index for Certain Family of Nanocone and Fullerene Structures

1School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
2Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran

Received 3 February 2016; Accepted 13 March 2016

Academic Editor: Paresh Chandra Ray

Copyright © 2016 Wei Gao and Mohammad Reza Farahani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A large number of previous works reveal that there exist strong connections between the chemical characteristics of chemical compounds and drugs (e.g., melting point and boiling point) and their topological structures. Chemical indices introduced on these molecular topological structures can help chemists and material and medical scientists to grasp its chemical reactivity, biological activity, and physical features better. Hence, the study of the topological indices on the material structure can make up the defect of experiments and provide the theoretical evidence in material engineering. In this paper, we determine the reverse eccentric connectivity index of one family of pentagonal carbon nanocones and three infinite families of fullerenes ,  , and based on graph analysis and computation derivation, and these results can offer the theoretical basis for material properties.