Table of Contents Author Guidelines Submit a Manuscript
The Scientific World Journal
Volume 2014, Article ID 637865, 7 pages
http://dx.doi.org/10.1155/2014/637865
Research Article

On the Maximum Estrada Index of 3-Uniform Linear Hypertrees

1School of Computer Science, Shaanxi Normal University, Xi’an 710062, China
2College of Computer, Qinghai Normal University, Xining 810008, China
3Department of Mathematics, Qinghai Normal University, Xining 810008, China
4Department of Mathematics, Southeast University, Nanjing 210096, China
5Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received 3 July 2014; Accepted 12 August 2014; Published 28 August 2014

Academic Editor: Jianlong Qiu

Copyright © 2014 Faxu Li et al. 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. E. Estrada, “Characterization of 3D molecular structure,” Chemical Physics Letters, vol. 319, no. 5-6, pp. 713–718, 2000. View at Google Scholar · View at Scopus
  2. E. Estrada, “Characterization of the folding degree of proteins,” Bioinformatics, vol. 18, no. 5, pp. 697–704, 2002. View at Publisher · View at Google Scholar · View at Scopus
  3. E. Estrada, “Characterization of the amino acid c ontration to the folding degree of proteins,” Proteins, vol. 54, no. 4, pp. 727–737, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. E. Estrada and J. A. Rodríguez-Velázquez, “Subgraph centrality in complex networks,” Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol. 71, no. 5, 9 pages, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  5. E. Estrada, J. A. Rodríguez-Velázquez, and M. Randić, “Atomic branching in molecules,” International Journal of Quantum Chemistry, vol. 106, no. 4, pp. 823–832, 2006. View at Publisher · View at Google Scholar
  6. K. C. Das and S. Lee, “On the Estrada index conjecture,” Linear Algebra and its Applications, vol. 431, no. 8, pp. 1351–1359, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. H. Deng, “A proof of a conjecture on the Estrada index,” MATCH, Communications in Mathematical and in Computer Chemistry, vol. 62, no. 3, pp. 599–606, 2009. View at Google Scholar · View at MathSciNet · View at Scopus
  8. Z. Du and B. Zhou, “The Estrada index of trees,” Linear Algebra and Its Applications, vol. 435, no. 10, pp. 2462–2467, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. Z. Du and B. Zhou, “The Estrada index of unicyclic graphs,” Linear Algebra and Its Applications, vol. 436, no. 9, pp. 3149–3159, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. Q. Deng and H. Chen, “On extremal bipartite unicyclic graphs,” Linear Algebra and Its Applications, vol. 444, pp. 89–99, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  11. A. Ilić and D. Stevanović, “The Estrada index of chemical trees,” Journal of Mathematical Chemistry, vol. 47, no. 1, pp. 305–314, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  12. W. Wang and W. Xu, “Graphs with the maximal Estrada indices,” Linear Algebra and its Applications, vol. 446, pp. 314–328, 2014. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. H. Zhao and Y. Jia, “On the Estrada index of bipartite graph,” MATCH: Communications in Mathematical and in Computer Chemistry, vol. 61, no. 2, pp. 495–501, 2009. View at Google Scholar · View at MathSciNet · View at Scopus
  14. B. Zhou and Z. Du, “Some lower bounds for Estrada index,” Iranian Journal of Mathematical Chemistry, vol. 1, no. 2, pp. 67–72, 2010. View at Google Scholar
  15. Z. Zhu, L. Tan, and Z. Qiu, “Tricyclic graph with maximal Estrada index,” Discrete Applied Mathematics, vol. 162, pp. 364–372, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  16. Z. Du, “An edge grafting theorem on the Estrada index of graphs and its applications,” Discrete Applied Mathematics, vol. 161, no. 1-2, pp. 134–139, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  17. J. A. de la Peña, I. Gutman, and J. Rada, “Estimating the Estrada index,” Linear Algebra and its Applications, vol. 427, no. 1, pp. 70–76, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. I. Gutman, H. Deng, and S. Radenković, “The Estrada index,” in Applications of Graph Spectra, D. Cvetković and I. Gutman, Eds., pp. 155–174, Mathematics Institute, Beograd, Serbia, 2011. View at Google Scholar
  19. J. Liu, X. Pan, and J. Cao, “Some properties on Estrada index of folded hypercubes networks,” Abstract and Applied Analysis, vol. 2014, Article ID 167623, 6 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  20. C. Berge, Graphs and Hypergraphs, Elsevier, New York, NY, USA, 1973. View at MathSciNet
  21. E. Estrada and J. A. Rodríguez-Velázquez, “Subgraph centrality and clustering in complex hyper-networks,” Physica A: Statistical Mechanics and Its Applications, vol. 364, pp. 581–594, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  22. D. Cvetkoic, M. Doob, and H. Sachs, Spectra of Graphs. Theory and Application, vol. 87 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1980.