Phase transition and hysteresis in scale-free network traffic

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

Volumn 75, Issue 3, 2007, Pages

  Hu, Mao Bin ^a   Wang, Wen Xu ^a   Jiang, Rui ^a   Wu, Qing Song ^a   Wu, Yong Hong ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b CURTIN UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); HYSTERESIS; NETWORK ROUTING; PHASE TRANSITIONS; QUEUEING NETWORKS; TELECOMMUNICATION NETWORKS;

LOCAL ROUTING COEFFICIENTS; SCALE FREE NETWORK TRAFFIC; TRAFFIC FLOW; TRAFFIC SYSTEMS;

TELECOMMUNICATION TRAFFIC;

EID: 33847655178     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.036102     Document Type: Article

References (26)

1. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
2. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
3. R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) NATUAS 0028-0836 10.1038/43601 401, 130 (1999).
4. R. Albert and A.-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
5. M. E. J. Newman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.016131 64, 016132 (2001).
6. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1103/RevModPhys.74.47 45, 167 (2003).
7. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006).
8. R. Pastor-Satorras and A. Vespignani, Evolution and Structure of the Internet: A Statistical Physics Approach (Cambridge University Press, Cambridge, 2004).
9. R. V. Sole and S. Valverde, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00536-7 289, 595 (2001).
10. A. Arenas, A. Díaz-Guilera, and R. Guimerá, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3196 86, 3196 (2001).
11. B. Tadić, S. Thurner, and G. J. Rodgers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.036102 69, 036102 (2004).
12. L. Zhao, Y. C. Lai, K. Park, and N. Ye, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.026125 71, 026125 (2005).
13. G. Mukherjee and S. S. Manna, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066108 71, 066108 (2005).
14. R. Guimerà, A. Díaz-Guilera, F. Vega-Redondo, A. Cabrales, and A. Arenas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.248701 89, 248701 (2002).
15. R. Guimerà, A. Arenas, A. Díaz-Guilera, and F. Giralt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.026704 66, 026704 (2002).
16. P. Echenique, J. Gómez-Gardeñes, and Y. Moreno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056105 70, 056105 (2004);
17. P. Echenique, J. Gómez-Gardeñes, and Y. Moreno, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10080-8 71, 325 (2005).
18. W. X. Wang, B. H. Wang, C. Y. Yin, Y. B. Xie, and T. Zhou, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.026111 73, 026111 (2006).
19. W. X. Wang, C. Y. Yin, G. Yan, and B. H. Wang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.016101 74, 016101 (2006).
20. C. Y. Yin, B. H. Wang, W. X. Wang, G. Yan, and H. J. Yang, Eur. Phys. J. B EPJBFY 1434-6028 49, 205C211 (2006).
21. G. Yan, T. Zhou, B. Hu, Z. Q. Fu, and B. H. Wang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.046108 73, 046108 (2006).
22. M. A. deMenezes and A.-L. Barabási, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.028701 92, 028701 (2004).
23. M. A. deMenezes and A.-L. Barabási, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.068701 93, 068701 (2004).
24. R. Germano and A. P. S. de Moura, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.036117 74, 036117 (2006).
25. J. M. Kleinberg, Nature (London) NATUAS 0028-0836 10.1038/35022643 406, 845 (2000).
26. B. Bollobás, Modern Graph Theory (Springer-Verlag, New York, 1998).