Scale-free random graphs and Potts model

Pramana - Journal of Physics

Volumn 64, Issue 6 SPEC. ISS., 2005, Pages 1149-1159

  Lee, D S ^a,b   Goh, K I ^a   Kahng, B ^a   Kim, D ^a  

^a Seoul National University   (South Korea)

^b SAARLAND UNIVERSITY   (Germany)

Author keywords

Percolation transition; Potts model; Scale free random graph

Indexed keywords

MATHEMATICAL MODELS; PERCOLATION (COMPUTER STORAGE); PROBLEM SOLVING; RANDOM PROCESSES; THERMODYNAMICS; WORLD WIDE WEB;

FINITE-SIZE SCALING; PERCOLATION TRANSITION; POTTS MODELS; SCALE-FREE RANDOM GRAPHS;

GRAPH THEORY;

EID: 21544433271     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02704176     Document Type: Conference Paper

References (29)

1. P Erd̈s and A Ŕnyi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960);
2. Bull. Inst. Int. Stat. 38, 343 (1961)
3. A-L Barabási and R Albert, Science 286, 509 (1999)
4. R Albert and A-L Barabási, Rev. Mod. Phys. 74, 47 (2002)
5. S N Dorogovtsev and J F F Mendes, Adv. Phys. 51, 1079 (2002)
6. M E J Newman, SIAM Rev. 45, 167 (2003)
7. J Berg and M Lässig, Phys. Rev. Lett. 89, 228701 (2002)
8. M Baiesi and S S Manna, Phys. Rev. E68, 047103 (2003)
9. Z Burda, J D Correia and A Krzywicki, Phys. Rev. E64, 046118 (2001)
10. Z Burda and A Krzywicki, Phys. Rev. E67, 046118 (2003)
11. S N Dorogovtsev, J F F Mendes and A N Samukhin, Nucl. Phys. B666, 396 (2003)
12. I Farkas, I Derenyi, G Palla and T Viscek, in Lecture notes in Physics: Networks: structure, dynamics, and function edited by E Ben-Naim, H Frauenfelder and Z Toroczkai (Springer, 2004)
13. M Molloy and B Reed, Random Struct. Algorithms 6, 161 (1995);
14. Combinatorics, Probab. Comput. 7, 295 (1998)
15. M E J Newman, S H Strogatz and D J Watts, Phys. Rev. E64, 026118 (2001)
16. K-I Goh, B Kahng and D Kim, Phys. Rev. Lett. 87, 278701 (2001)
17. G Caldarelli, A Capocci, P De Los Rios and M A Muñoz, Phys. Rev. Lett. 89, 258702 (2002)
18. B S̈derberg, Phys. Rev. E66, 066121 (2002)
19. F Chung and L Lu, Ann. Combinatorics 6, 125 (2002)
20. W Aiello, F Chung and L Lu, Exp. Math. 10, 53 (2001)
21. J Park and M E J Newman, Phys. Rev. E68, 026112 (2003);
22. Phys. Rev. E70, 066117 (2004)
23. D-S Lee, K-I Goh, B Kahng and D Kim, Nucl. Phys. B696, 351 (2004)
24. P W Kasteleyn and C M Fortuin, J. Phys. Soc. Jpn. Suppl. 16, 11 (1969)
25. C M Fortuin and P W Kasteleyn, Physica 57, 536 (1972)
26. Also see F Y Wu, Rev. Mod. Phys. 54, 235 (1982)
27. S S Manna and P Sen, Phys. Rev. E66, 066114 (2002)
28. P Sen, K Banerjee and T Biswas, Phys. Rev. E66, 037102 (2002)
29. R Cohen, D ben-Avraham and S Havlin, Phys. Rev. E66, 036113 (2002)