Perturbing general uncorrelated networks

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

Volumn 70, Issue 2 2, 2004, Pages

  Burda, Z ^a   Jurkiewicz, J ^a   Krzywicki, A ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FUNCTIONS; GAS DYNAMICS; HAMILTONIANS; MATRIX ALGEBRA; MONTE CARLO METHODS; PERTURBATION TECHNIQUES; PROBABILITY; STATISTICAL MECHANICS; TREES (MATHEMATICS);

BINOMIAL MOMENT; DEGREE DISTRIBUTIONS; RANDOM GRAPHS; UNCORRELATED NETWORKS;

GRAPH THEORY;

EID: 42749106087     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.026106     Document Type: Article

References (20)

1. R. Albert and A.-L. Barabasi, Rev. Mod. Phys. 74, 47 (2002).
2. S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002); Evolution of Networks: from Biological Nets to to the Internet and WWW (Oxford University Press, New York, 2003).
3. S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002); Evolution of Networks: from Biological Nets to to the Internet and WWW (Oxford University Press, New York, 2003).
4. M. E. J. Newman, SIAM Rev. 45, 167 (2003).
5. Z. Burda, J. Jurkiewicz, and A. Krzywicki, Phys. Rev. E 69, 026106 (2004).
6. Similar ideas were independently developed in S. Coulomb, M. Bauer, e-print cond-mat/0310170.
7. J. Berg and M. Lässig, Phys. Rev. Lett. 89, 228701 (2002).
8. Z. Burda and A. Krzywicki, Phys. Rev. E 67, 046118 (2003); the same model/algorithm was already discussed, but for trees and pseudographs, in Z. Burda, J. D. Correia, A. Krzywicki, ibid. 64, 046118 (2001).
9. Z. Burda and A. Krzywicki, Phys. Rev. E 67, 046118 (2003); the same model/algorithm was already discussed, but for trees and pseudographs, in Z. Burda, J. D. Correia, A. Krzywicki, ibid. 64, 046118 (2001).
10. The existence of this crumpled phase was discovered by D. Strauss, SIAM Rev. 28, 513 (1986); see also P. W. Holland and S. Leinhardt, J. Am. Stat. Assoc. 76, 33 (1981).
11. The existence of this crumpled phase was discovered by D. Strauss, SIAM Rev. 28, 513 (1986); see also P. W. Holland and S. Leinhardt, J. Am. Stat. Assoc. 76, 33 (1981).
12. M. Bauer and O. Golinelli, J. Stat. Phys. 103, 301 (2001).
13. A. Fronczak, P. Fronczak, and J. A. Holyst, e-print cond-mat/ 0212230.
14. B. Söderberg, Acta Phys. Pol. B 34, 5058 (2003).
15. S. Itzkovitz et al., Phys. Rev. E 68, 026127 (2003).
16. ma/2, one easily recovers the rules given in the main body of the text.
17. B. Söderberg, Phys. Rev. E 66, 066121 (2002).
18. M. Boguna and R. Pastor-Satorras, Phys. Rev. E 68, 036112 (2003).
19. P. L. Krapivsky and S. Redner, Phys. Rev. E 63, 066123 (2001).
20. A. Váquez, R. Pastor-Satorras, and A. Vespignani, e-print cond-mat/0106084.