Statistical mechanics of topological phase transitions in networks

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

Volumn 69, Issue 4 2, 2004, Pages

  Palla, Gergely ^a   Derényi, Imre ^a   Farkas, Illés ^a   Vicsek, Tamás ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GASES; GRAPH THEORY; LATTICE VIBRATIONS; MONTE CARLO METHODS; PERCOLATION (FLUIDS); PHASE DIAGRAMS; PROBABILITY; STATISTICAL MECHANICS; STOCHASTIC CONTROL SYSTEMS; TOPOLOGY;

BALANCE CONDITIONS; EDGE-DUAL GRAPHS; MICROSCOPIC DYNAMICS; RESTRUCTURING NETWORKS;

PHASE TRANSITIONS;

EID: 37649033050     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. A.-L. Barabási and R. Albert, Rev. Mod. Phys. 74, 47 (2002).
2. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003).
3. D.J. Watts and S.H. Strogatz, Nature (London) 393, 440 (1998).
4. A.-L. Barabási and R. Albert, Science 286, 509 (1999).
5. P. Erdos and A. Rényi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960).
6. B. Bollobás, Graph Theory, An Introductory Course (Springer-Verlag, Berlin, 1979).
7. G. Bianconi and A.-L. Barabási, Phys. Rev. Lett. 86, 5632 (2001).
8. D. Stark and B. Vedres (unpublished).
9. Z. Burda, J.D. Correia, and A. Krzywicki, Phys. Rev. E 64, 046118 (2001).
10. Z. Burda and A. Krzywicki, Phys. Rev. E 67, 046118 (2003).
11. J. Berg and M. Lässig, Phys. Rev. Lett. 89, 228701 (2002).
12. M. Baiesi and S.S. Manna, Phys. Rev. E 68, 047103 (2003).
13. A.D. Sánchez, J.M. López, and M.A. Rodríguez, Phys. Rev. Lett. 88, 048701 (2002).
14. K. Klemm, V.M. Eguíluz, R. Toral, and M.S. Miguel, Phys. Rev. E 67, 026120 (2003).
15. A.V. Goltsev, S.N. Dorogovtsev, and J.F.F. Mendes, Phys. Rev. E 67, 026123 (2003).
16. G. Szabó, M. Alava, and J. Kertész, Phys. Rev. E 67, 056102 (2003).
17. G. Mukherjee and S.S. Manna, Phys. Rev. E 67, 012101 (2003).
18. R. Guimerá, A. Díaz-Guilera, F. Vega-Redondo, A. Cabrales, and A. Arenas, Phys. Rev. Lett. 89, 248701 (2002).
19. S. Valverde, R. Ferrer Cancho, and R.V. Solé, Europhys. Lett. 60, 512 (2002).
20. I. Derényi, I. Farkas, G. Palla, and T. Vicsek, Physica A 334, 583 (2004).
21. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
22. A. Ramezanpour, V. Karimipour, and A. Mashaghi, Phys. Rev. E 67, 046107 (2003).
23. D. Bennett-Wood, I.G. Enting, D.S. Gaunt, A.J. Guttmann, J.L. Leask, A.L. Owczarek, and S.G. Whittington, J. Phys. A 31, 4725 (1998).
24. D.C. Hong, S. Havlin, H.J. Herrmann, and H.E. Stanley, Phys. Rev. 830, 4083 (1984).
25. D. ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, 2000).
26. P. Devillard and H.E. Stanley, Phys. Rev. A 41, 2942 (1989).
27. 2/2-5N/2+3 second neighbors.
28. K. Hukushima, Comput. Phys. Commun. 147, 77 (2002).
29. M.E.J. Newman, SIAM Rev. 45, 167 (2003).
30. B. Bollobás, Random Graphs (Cambridge University Press, Cambridge, 2001).
31. M.E.J. Newman, S.H. Strogatz, and D.J. Watts, Phys. Rev. E 64, 026118(2001).