Table of Contents Author Guidelines Submit a Manuscript
Journal of Nanotechnology
Volume 2016, Article ID 3129561, 6 pages
http://dx.doi.org/10.1155/2016/3129561
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.

Linked References

  1. H. J. Wiener, “Structural determination of paraffin boiling points,” Journal of the American Chemical Society, vol. 69, no. 1, pp. 17–20, 1947. View at Publisher · View at Google Scholar · View at Scopus
  2. A. R. Katritzky, R. Jain, A. Lomaka, R. Petrukhin, U. Maran, and M. Karelson, “Perspective on the relationship between melting points and chemical structure,” Crystal Growth & Design, vol. 1, no. 4, pp. 261–265, 2001. View at Publisher · View at Google Scholar · View at Scopus
  3. J. A. Bondy and U. S. R. Murty, Graph Theory, Springer, Berlin, Germany, 2008.
  4. L. Yan, W. Gao, and J. S. Li, “General harmonic index and general sum connectivity index of polyomino chains and nanotubes,” Journal of Computational and Theoretical Nanoscience, vol. 12, no. 10, pp. 3940–3944, 2015. View at Publisher · View at Google Scholar
  5. W. Gao and L. Shi, “Wiener index of gear fan graph and gear wheel graph,” Asian Journal of Chemistry, vol. 26, no. 11, pp. 3397–3400, 2014. View at Publisher · View at Google Scholar · View at Scopus
  6. W. Gao and W. F. Wang, “Second atom-bond connectivity index of special chemical molecular structures,” Journal of Chemistry, vol. 2014, Article ID 906254, 8 pages, 2014. View at Publisher · View at Google Scholar
  7. W. Gao and W. F. Wang, “The vertex version of weighted Wiener number for bicyclic molecular structures,” Computational and Mathematical Methods in Medicine, vol. 2015, Article ID 418106, 10 pages, 2015. View at Publisher · View at Google Scholar · View at MathSciNet
  8. P. S. Ranjini and V. Lokesha, “Eccentric connectivity index, hyper and reverse-wiener indices of the subdivision graph,” General Mathematics Notes, vol. 2, pp. 34–46, 2011. View at Google Scholar
  9. M. J. Morgan, S. Mukwembi, and H. C. Swart, “On the eccentric connectivity index of a graph,” Discrete Mathematics, vol. 311, no. 13, pp. 1229–1234, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. H. Hua and K. C. Das, “The relationship between the eccentric connectivity index and Zagreb indices,” Discrete Applied Mathematics, vol. 161, no. 16-17, pp. 2480–2491, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. N. De, “On eccentric connectivity index and polynomial of thorn graph,” Applied Mathematics, vol. 3, no. 8, pp. 931–934, 2012. View at Publisher · View at Google Scholar
  12. B. Eskender and E. Vumar, “Eccentric connectivity index and eccentric distance sum of some graph operations,” Transactions on Combinatorics, vol. 2, no. 1, pp. 103–111, 2013. View at Google Scholar · View at MathSciNet
  13. A. Ilić and I. Gutman, “Eccentric connectivity index of chemical trees,” MATCH Communications in Mathematical and in Computer Chemistry, vol. 65, no. 3, pp. 731–744, 2011. View at Google Scholar
  14. M. Iranmanesh and R. Hafezieh, “The eccentric connectivity index of some special graphs,” Iranian Journal of Mathematical Chemistry, vol. 2, pp. 61–65, 2011. View at Google Scholar
  15. P. Dankelmann, M. J. Morgan, S. Mukwembi, and H. C. Swart, “On the eccentric connectivity index and Wiener index of a graph,” Quaestiones Mathematicae, vol. 37, no. 1, pp. 39–47, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. M. J. Morgan, S. Mukwembi, and H. C. Swart, “A lower bound on the eccentric connectivity index of a graph,” Discrete Applied Mathematics, vol. 160, no. 3, pp. 248–258, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. N. P. Rao and K. L. Lakshmi, “Eccentric connectivity index of V-phenylenic nanotubes,” Digest Journal of Nanomaterials and Biostructures, vol. 6, no. 1, pp. 81–87, 2010. View at Google Scholar
  18. S. Ediz, “Reverse eccentric connectivity index,” Optoelectronics and Advanced Materials-Rapid Communications, vol. 6, no. 5-6, pp. 664–667, 2012. View at Google Scholar · View at Scopus
  19. A. Nejati and A. Mehdi, “On reverse eccentric connectivity index of one tetragonal carbon nanocones,” Journal of Theoretical and Computational Science, vol. 1, no. 3, Article ID 1000115, 2014. View at Google Scholar
  20. Y. Prylutskyy, A. Bychko, V. Sokolova et al., “Interaction of C60 fullerene complexed to doxorubicin with model bilipid membranes and its uptake by HeLa cells,” Materials Science and Engineering C: Materials for Biological Applications, vol. 59, pp. 398–403, 2016. View at Publisher · View at Google Scholar · View at Scopus
  21. P. A. Borisova, M. S. Blanter, V. V. Brazhkin et al., “Interaction of amorphous fullerene C60 with austenite Fe–Ni alloy at high temperatures and pressures,” Journal of Alloys and Compounds, vol. 656, pp. 383–388, 2016. View at Publisher · View at Google Scholar · View at Scopus
  22. K. Sugikawa, A. Kubo, and A. Ikeda, “pH-responsive nanogels containing fullerenes: synthesis via a fullerene exchange method and photoactivity,” Chemistry Letters, vol. 45, no. 1, pp. 60–62, 2016. View at Publisher · View at Google Scholar
  23. T. Heumueller, W. R. Mateker, A. Distler et al., “Morphological and electrical control of fullerene dimerization determines organic photovoltaic stability,” Energy Environ. Sci., vol. 9, no. 1, pp. 247–256, 2016. View at Publisher · View at Google Scholar
  24. O. D. Hendrickson, N. I. Smirnova, A. V. Zherdev, P. G. Sveshnikov, and B. B. Dzantiev, “Competitive photometric enzyme immunoassay for fullerene C-60 and its derivatives using a fullerene conjugated to horseradish peroxidase,” Microchimica Acta, vol. 183, no. 1, pp. 211–217, 2016. View at Google Scholar