Percolation of partially interdependent networks under targeted attack

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

Volumn 85, Issue 1, 2012, Pages

  Dong, Gaogao ^a   Gao, Jianxi ^b,c   Tian, Lixin ^a   Du, Ruijin ^a,d   He, Yinghuan ^a  

^a JIANGSU UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c Boston University   (United States)

^d CHONGQING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; COUPLING STRENGTHS; CRITICAL COUPLING; FIRST ORDER TRANSITIONS; FIRST-ORDER PHASE TRANSITIONS; HIGH-DEGREE NODES; INITIAL TIME; SECOND ORDER TRANSITION; SECOND-ORDER PHASE TRANSITION; STRONG COUPLING; WEAK COUPLINGS;

PHASE TRANSITIONS; SOLVENTS;

PROBABILITY;

EID: 84863030735     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.016112     Document Type: Article

References (31)

1. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998). (Pubitemid 28292183)
2. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
3. R. Albert and A.-L. Barabasi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
4. R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4626 85, 4626 (2000). (Pubitemid 32024907)
5. 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). (Pubitemid 32089658)
6. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW(Physics) (Oxford University Press, New York, 2003).
7. C. Song, S. Havlin, and H. A. Makse, Nature (London) NATUAS 0028-0836 10.1038/nature03248 433, 392 (2005). (Pubitemid 40203314)
8. R. P. Satorras and A. Vespignani, Evolution and Structure of the Internet: A Statistical Physics Approach (Cambridge University Press, Cambridge, 2006).
9. G. Caldarelli and A. Vespignani, Large Scale Structure and Dynamics of Complex Webs (World Scientific, Singapore, 2007).
10. R. Cohen and S. Havlin, Complex Networks: Structure, Robustness and Function (Cambridge University Press, Cambridge, 2010).
11. M. E. J. Newman, Networks: An Introduction (Oxford University Press, New York, 2010).
12. S. V. Buldyrev, Nature (London) NATUAS 0028-0836 10.1038/nature08932 464, 1025 (2010).
13. R. Parshani, S. V. Buldyrev, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.048701 105, 048701 (2010).
14. X. Huang, J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.065101 83, 065101 (R) (2011).
15. J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, e-print arXiv: 1108.5515v1.
16. S. Havlin, e-print arXiv: 1012.0206v1.
17. J. Shao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.036116 83, 036116 (2011).
18. Y. Hu, B. Ksherim, R. Cohen, and S. Havlin, Phys. Rev. E 1539-3755 10.1103/PhysRevE.84.066116 84, 066116 (2011).
19. J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.195701 107, 195701 (2011).
20. J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Nature Physics 1745-2473 10.1038/nphys2180 8, 40 (2012).
21. J. C. Laprie, K. Kanoun, and M. Kaniche, in Computer Safety, Reliability, and Security: 26th International Conference, SAFECOMP 2007, Nuremberg, Germany, September 18-21, 2007. Proceedings, Lecture Notes in Computer Science Vol. 4680, (2007), 54.
22. P. Pederson, D. Dudenhoeffer, S. Hartley, and M. Permann, Idaho National Laboratory, Technical Report INL/EXT-06-11464, 2006.
23. R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3682 86, 3682 (2001). (Pubitemid 32416204)
24. L. K. Gallos, R. Cohen, P. Argyrakis, A. Bunde, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.188701 94, 188701 (2005). (Pubitemid 41493091)
25. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.026118 64, 026118 (2001).
26. M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.016128 66, 016128 (2002). (Pubitemid 40599061)
27. J. Shao, S. V. Buldyrev, L. A. Braunstein, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.036105 80, 036105 (2009).
28. J. Shao, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/84/48004 84, 48004 (2008).
29. P. Erdös and A. Rényi, Publ. Math. (Debrecen) 6, 290 (1959);
30. P. Erdös and A. Rényi Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960).
31. B. Bollobás, Random Graphs (Academic, London, 1985).