Table of Contents Author Guidelines Submit a Manuscript
Complexity
Volume 2017, Article ID 7157943, 10 pages
https://doi.org/10.1155/2017/7157943
Research Article

On the Emergence of Islands in Complex Networks

1Instituto de Investigación en Comunicación Óptica (IICO), Universidad Autónoma de San Luis Potosí (UASLP), San Luis Potosí, SLP, Mexico
2Facultad de Ingeniería, Universidad Autónoma de San Luis Potosí (UASLP), San Luis Potosí, SLP, Mexico
3Facultad de Ciencias, Universidad Autónoma de San Luis Potosí (UASLP), San Luis Potosí, SLP, Mexico
4Universidad Politécnica de San Luis Potosí (UPSLP), San Luis Potosí, SLP, Mexico

Correspondence should be addressed to J. Esquivel-Gómez; xm.plsau.cf@leviuqsej

Received 6 July 2016; Revised 9 November 2016; Accepted 12 December 2016; Published 16 January 2017

Academic Editor: Pietro De Lellis

Copyright © 2017 J. Esquivel-Gómez 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. M. Rubinov and O. Sporns, “Complex network measures of brain connectivity: uses and interpretations,” Euroimage, vol. 52, no. 3, pp. 1059–1069, 2010. View at Google Scholar
  2. C. Campbell, S. Yang, K. Shea, and R. Albert, “Topology of plant-pollinator networks that are vulnerable to collapse from species extinction,” Physical Review E, vol. 86, no. 2, Article ID 021924, 8 pages, 2012. View at Publisher · View at Google Scholar
  3. S. Tavazoie, J. D. Hughes, M. J. Campbell, R. J. Cho, and G. M. Church, “Systematic determination of genetic network architecture,” Nature Genetics, vol. 22, no. 3, pp. 281–285, 1999. View at Publisher · View at Google Scholar · View at Scopus
  4. H. Jeong, B. Tombor, R. Albert, Z. N. Oltvai, and A.-L. Barabási, “The large-scale organization of metabolic networks,” Nature, vol. 407, no. 6804, pp. 651–654, 2000. View at Publisher · View at Google Scholar · View at Scopus
  5. G. Basler, Z. Nikoloski, A. Larhlimi, A. L. Barabási, and Y. Y. Liu, “Control of fluxes in metabolic networks,” Genome Research, vol. 26, no. 7, pp. 956–968, 2016. View at Publisher · View at Google Scholar
  6. V. Kalapala, V. Sanwalani, A. Clauset, and C. Moore, “Scale invariance in road networks,” Physical Review E, vol. 73, no. 2, Article ID 026130, 2006. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Ebel, L.-I. Mielsch, and S. Bornholdt, “Scale-free topology of e-mail networks,” Physical Review E, vol. 66, no. 3, Article ID 035103, 2002. View at Publisher · View at Google Scholar · View at Scopus
  8. P. S. Bearman, J. Moody, and K. Stovel, “Chains of affection: the structure of adolescent romantic and sexual networks,” American Journal of Sociology, vol. 110, no. 1, pp. 44–91, 2004. View at Publisher · View at Google Scholar · View at Scopus
  9. P. Erdos and A. Renyi, “On random graphs,” Publicationes Mathematicae, vol. 29, 1959. View at Google Scholar
  10. V. Paxon and S. Floyd, “Why we don't know how to simulate the internet,” in Proceedings of the Winter Simulation Conference, December 1997.
  11. S. Redner, “How popular is your paper? An empirical study of the citation distribution,” The European Physical Journal B, vol. 4, no. 2, pp. 131–134, 1998. View at Publisher · View at Google Scholar
  12. M. Faloutsos, P. Faloutsos, and C. Faloutsos, “On power-law relationships of the internet topology,” in Proceedings of the Conference on Applications, Technologies, Architectures, and Protocols for Computer Communication (SIGCOMM '99), Cambridge, Mass, USA, September 1999. View at Publisher · View at Google Scholar
  13. L. A. Adamic, B. A. Huberman, A. Barabási, R. Albert, H. Jeong, and G. Bianconi, “Power-law distribution of the world wide web,” Science, vol. 287, no. 5461, p. 2115, 2000. View at Publisher · View at Google Scholar
  14. R. Albert and A.-L. Barabási, “Statistical mechanics of complex networks,” Reviews of Modern Physics, vol. 74, no. 1, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  15. A.-L. Barabási and R. Albert, “Emergence of scaling in random networks,” American Association for the Advancement of Science. Science, vol. 286, no. 5439, pp. 509–512, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. P. L. Krapivsky, S. Redner, and F. Leyvraz, “Connectivity of growing random networks,” Physical Review Letters, vol. 85, no. 21, pp. 4629–4632, 2000. View at Publisher · View at Google Scholar · View at Scopus
  17. S. N. Dorogovtsev and J. F. Mendes, “Exactly solvable small-world network,” Europhysics Letters, vol. 50, no. 1, pp. 1–7, 2000. View at Publisher · View at Google Scholar
  18. S. N. Dorogovtsev and J. F. F. Mendes, “Evolution of networks with aging of sites,” Physical Review E, vol. 62, no. 2, p. 1842, 2000. View at Publisher · View at Google Scholar
  19. R. Albert and A.-L. Barabási, “Topology of evolving networks: local events and universality,” Physical Review Letters, vol. 85, no. 24, pp. 5234–5237, 2000. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Esquivel-Gómez, R. E. Balderas-Navarro, E. Ugalde, and J. Acosta-Elías, “On the growth of directed complex networks with preferential attachment: effect upon the prohibition of multiple links,” International Journal of Modern Physics C, vol. 26, no. 6, Article ID 1550066, 2015. View at Publisher · View at Google Scholar · View at Scopus
  21. J. Acosta-Elias, P. D. Arjona-Villicaña, and L. Moldes-Navarro, “The impact of time delay in the connectivity distribution of complex networks generated using the Barabási-Albert model,” Revista Mexicana de Física, vol. 60, no. 2, pp. 145–148, 2014. View at Google Scholar · View at MathSciNet
  22. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, “Critical phenomena in complex networks,” Reviews of Modern Physics, vol. 80, no. 4, pp. 1275–1335, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, “Complex networks: structure and dynamics,” Physics Reports, vol. 424, no. 4-5, pp. 175–308, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. N. Schwartz, R. Cohen, D. ben-Avraham, A.-L. Barabási, and S. Havlin, “Percolation in directed scale-free networks,” Physical Review E, vol. 66, no. 1, Article ID 015104, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. A. Broder, R. Kumar, F. Maghoul et al., “Graph structure in the Web,” Computer Networks, vol. 33, no. 1, pp. 309–320, 2000. View at Publisher · View at Google Scholar · View at Scopus
  26. X.-J. Xu, X. Zhang, and J. F. F. Mendes, “Growing community networks with local events,” Physica A: Statistical Mechanics and its Applications, vol. 388, no. 7, pp. 1273–1278, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. J. Liu, H. A. Abbass, W. Zhong, and D. G. Green, “Local-global interaction and the emergence of scale-free networks with community structures,” Artificial Life, vol. 17, no. 4, pp. 263–279, 2011. View at Publisher · View at Google Scholar
  28. L. Guo and X. Cai, “Emergence of community structure in the adaptive social networks,” Communications in Computational Physics, vol. 8, no. 4, pp. 835–844, 2010. View at Publisher · View at Google Scholar · View at Scopus
  29. J. M. Kumpula, J.-P. Onnela, J. Saramäki, J. Kertész, and K. Kaski, “Model of community emergence in weighted social networks,” Computer Physics Communications, vol. 180, no. 4, pp. 517–522, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  30. J. C. González-Avella, M. G. Cosenza, J. L. Herrera, and K. Tucci, “Emergence and persistence of communities in coevolutionary networks,” EPL (Europhysics Letters), vol. 107, no. 2, Article ID 28002, 2014. View at Publisher · View at Google Scholar
  31. J. Esquivel-Gómez, P. D. Arjona-Villicaña, and J. Acosta-Elías, “The impact of local processes and the prohibition of multiple links in the topological properties of directed complex networks,” International Journal of Modern Physics C, vol. 26, no. 12, Article ID 1550142, 2015. View at Publisher · View at Google Scholar
  32. P. L. Krapivsky and S. Redner, “Network growth by copying,” Physical Review E, vol. 71, no. 3, 2005. View at Publisher · View at Google Scholar
  33. B. Bollobás, B. Christian, J. Chayes, and O. Riordan, Directed Scale-Free Graphs, SODA03, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 2003.
  34. J. Esquivel-Gómez, E. Stevens-Navarro, U. Pineda-Rico, and J. Acosta-Elias, “A growth model for directed complex networks with power-law shape in the out-degree distribution,” Scientific Reports, vol. 5, article 7670, 2015. View at Publisher · View at Google Scholar
  35. J. Esquivel-Gómez, P. D. Arjona-Villicaña, E. Stevens-Navarro, U. Pineda-Rico, R. E. Balderas-Navarro, and J. Acosta-Elias, “On a growth model for complex networks capable of producing power-law out-degree distributions with wide range exponents,” Scientific Reports, vol. 5, p. 9067, 2015. View at Publisher · View at Google Scholar
  36. B. H. Hall, A. B. Jaffe, and M. Trajtenberg, “The NBER US patent citations data file,” NBER Working Paper 8498, 2001, https://scholar.google.com/citations?view_op=view_citation&hl=es&user=xNiD7IUAAAAJ&citation_for_view=xNiD7IUAAAAJ:aqlVkmm33-oC. View at Google Scholar
  37. V. Batagelj, H.-H. Bock, A. Ferligoj, and A. Žiberna, Eds., Data Science and Classification, Studies in Classification, Data Analysis, and Knowledge Organization, Springer, Berlin, Germany, 2006. View at Publisher · View at Google Scholar
  38. A.-L. Barabási, R. Albert, and H. Jeong, “Mean-field theory for scale-free random networks,” Physica A: Statistical Mechanics and its Applications, vol. 272, no. 1, pp. 173–187, 1999. View at Publisher · View at Google Scholar · View at Scopus
  39. H. A. Simon, “On a class of skew distribution functions,” Biometrika, vol. 42, pp. 425–440, 1955. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet