Clogging and self-organized criticality in complex networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 3 2, 2004, Pages

  Bianconi, Ginestra ^a   Marsili, Matteo ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); CONSTRAINT THEORY; INTERCONNECTION NETWORKS; INTERNET; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBABILITY; STATISTICAL METHODS;

DISSIPATION RATES; DYNAMICAL NETWORKS; NETWORK COLLAPSE; RELAXATION DYNAMICS;

LARGE SCALE SYSTEMS;

EID: 37649030059     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.035105     Document Type: Article

References (21)

1. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002).
2. S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002).
3. R. Guimera, A. Arenas, A. Diaz-Guilera, and F. Vega-Redondo, Phys. Rev. Lett. 89, 248701 (2002).
4. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. 86, 3200 (2001).
5. A.-L. Barabási and R. Albert, Science 286, 509 (1999).
6. J. Ito and K. Kaneko, Phys. Rev. Lett. 88, 028701 (2002).
7. S. Bornholdt and T. Rohlf, Phys. Rev. Lett. 84, 6114 (2000).
8. V. M. Egufluz and M. G. Zimmermann, Phys. Rev. Lett. 85, 5659 (2000).
9. H. Ebel and S. Bornholdt, e-print cond-mat/0211666.
10. M. Marsili, F. Vega-Redondo, and F. Slanina, Proc. Natl. Acad. Sci. U.S.A. 101, 1439 (2003).
11. R. Pastor-Satorras and A. Vespignani, Evolution and Structure of the Internet (Cambridge University Press, Cambridge, 2004).
12. A. Aleksiejuk, J. A. Holyst, and G. Kossinets, Int, J. Mod. Phys. C 13, 333 (2002).
13. Y. Moreno, R. Pastor-Satorras, A. Vazquez, and A. Vespignani, Europhys. Lett. 62, 292 (2003).
14. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
15. If the neighbor k of an unstable node j is connected to all the nodes, the link jk can only be rewired to node j again.
16. M. Marsili and A. Valleriani, Eur. Phys. J. B 3, 417 (1998).
17. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E 64, 026118 (2001).
18. S. Zapperi, K. B. Lauritsen, and H. E. Stanley, Phys. Rev. E 75, 4071 (1995); J. de Boer, et al., Phys. Rev. Lett. 73, 906 (1996).
19. S. Zapperi, K. B. Lauritsen, and H. E. Stanley, Phys. Rev. E 75, 4071 (1995); J. de Boer, et al., Phys. Rev. Lett. 73, 906 (1996).
20. M. Marsili, P. De Los Rios, and S. Maslov, Phys. Rev. Lett. 80, 1457 (1998).
21. M. O. Magnasco, e-print nlin.AO/0010051.