Interfaces and the edge percolation map of random directed networks

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

Volumn 76, Issue 5, 2007, Pages

  Angeles Serrano M ^a   De Los Rios, Paolo ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

MAPPING; MATHEMATICAL MODELS; RANDOM PROCESSES;

EDGE PERCOLATION MAP; GIANT STRUCTURES; RANDOM DIRECTED NETWORKS;

CIRCUIT THEORY;

EID: 36749075572     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.056121     Document Type: Article

References (25)

1. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, e-print arXiv:0705.0010v2.
2. R. Albert and A.-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
3. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003).
4. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
5. R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4626 85, 4626 (2000).
6. M. E. J. Newman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.016128 66, 016128 (2002).
7. M. Molloy and B. Reed, Random Struct. Algorithms RSALFD 1042-9832 6, 161 (1995).
8. M. Molloy and B. Reed, Combinatorics, Probab. Comput. CPCOFG 0963-5483 10.1017/S0963548398003526 7, 295 (1998).
9. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.026118 64, 026118 (2001).
10. D. S. Callaway, M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5468 85, 5468 (2000).
11. M. E. J. Newman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.208701 89, 208701 (2002).
12. M. E. J. Newman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.026126 67, 026126 (2003).
13. A. Vázquez and Y. Moreno, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.015101 67, 015101 (R) (2003).
14. S. N. Dorogovtsev, J. F. F. Mendes, and A. N. Samukhin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.066110 64, 066110 (2001).
15. P. L. Krapivsky and B. Derrida, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.05.020 340, 714 (2004).
16. N. Schwartz, R. Cohen, D. ben-Avraham, A.-L. Barabási, and S. Havlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.015104 66, 015104 (R) (2002).
17. S. N. Dorogovtsev, J. F. F. Mendes, and A. N. Samukhin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.025101 64, 025101 (R) (2001).
18. M. Boguñá and M. A. Serrano, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.016106 72, 016106 (2005).
19. M. A. Serrano and M. Boguñá, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.088701 97, 088701 (2006).
20. A. Broder, R. Kumar, F. Maghoul, P. Raghavan, S. Rajagopalan, S. Stata, A. Tomkins, and J. Wiener, Comput. Netw. ZZZZZZ 1389-1286 33, 309 (2000).
21. M. Boguñá and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.047104 66, 047104 (2002).
22. E. A. Bender and E. R. Canfield, J. Comb. Theory, Ser. A JCBTA7 0097-3165 10.1016/0097-3165(78)90059-6 24, 296 (1978).
23. B. Bollobás, Eur. J. Comb. EJOCDI 0195-6698 1, 311 (1980).
24. M. A. Serrano, M. Boguñá, A. G. Maguitman, S. Fortunato, and A. Vespignani, ACM Trans. Web 1, 10 (2007).
25. A. Vázquez, R. Dobrin, D. Sergi, J.-P. Eckmann, Z. N. Oltvai, and A.-L. Barabási, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0406024101 101, 17940 (2004).