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Original Articles

Probabilistic analysis of efficiency and vulnerability in the Erdös–Rénji model

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Pages 411-419 | Received 07 Nov 2006, Accepted 26 Jan 2007, Published online: 22 Sep 2010

References

  • Albert , R. and Barabasi , A. L. 2002 . Statistical mechanics of complex networks . Review of Modern Physics , 74 : 47 – 97 .
  • Bocaletti , S. , Latora , V. , Moreno , Y. , Chavez , M. and Hwang , D.-U. 2006 . Complex networks: structure and dynamics . Physics Reports , 424 : 175 – 308 .
  • Newman , M. E.J. 2003 . The structure and function of complex networks . SIAM Review , 45 : 167 – 256 .
  • Watts , D. J. and Strogatz , S. H. 1998 . Small worlds . Nature , 393 : 440
  • Erdös , P. and Rényi , A. 1959 . On Random Graphs , 6 (Math Debrecen)
  • Latora , V. and Marchiori , M. 2001 . Efficient behavior of small-world networks . Physics Review Letters , 87 : 198701
  • Cohen , R. , Erez , K. , Ben-Avraham , D. and Havlin , S. 2000 . Resilience of the Internet to random breakdowns . Physics Review Letters , 85 : 4626
  • Cohen , R. , Erez , K. , Ben-Avraham , D. and Havlin , S. 2001 . Breakdown of the Internet under intentional attack . Physics Review Letters , 86 : 33682
  • Criado , R. , Flores , J. , Hernández-Bermejo , B. , Pello , J. and Romance , M. 2005 . Effective measurement of network vulnerability under random and intentional attacks . Journal of Mathematical Modelling and Algorithms , 4 : 307 – 316 .
  • Dekker , A. H. and Colbert , B. D. Network robustness and graph topology . Paper presented at the 27th Australasian Computer Science Conference . pp. 359 – 368 . ACSC04
  • Holme , P. , Kim , B. , Yoon , C. and Han , S. 2003 . Attack vulnerability of complex networks . Physics Review E , 65 : 056109
  • Criado , R. , Hernández-Bermejo , B. , Marco-Blanco , J. and Romance , M. 2007 . Asymptotic estimates for efficiency, vulnerability and cost for random networks . Journal of Computational and Applied Mathematics , 204 : 166 – 171 .
  • Bollobas , B. 1985 . Random Graphs , London : Academic Press .
  • Chung , F. and Lu , L. 2001 . The diameter of sparse random graphs . Advances in Applied Mathematics , 26 : 257 – 279 .
  • Zhou , C. , Motter , A. E. and Kurths , J. 2006 . Universality in the synchronization of weighted random networks . Physics Review Letters , 96 : 034101
  • Latora , V. and Marchiori , M. 2003 . Economic small-world behavior in weighted networks . European Physics Journal B , 32 : 249 – 263 .

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