Robustness of a network formed of spatially embedded networks

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

Volumn 90, Issue 1, 2014, Pages

  Shekhtman, Louis M ^a   Berezin, Yehiel ^a   Danziger, Michael M ^a   Havlin, Shlomo ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

FORESTRY; SOLVENTS;

EMBEDDED NETWORK; FIRST-ORDER PHASE TRANSITIONS; LIMITING VALUES; NETWORK OF NETWORKS; NETWORK STRUCTURES; PERCOLATION BEHAVIOR; REGULAR NETWORKS; TREELIKE NETWORKS;

COMPUTER SIMULATION;

THEORETICAL MODEL;

MODELS, THEORETICAL;

EID: 84905492634     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.90.012809     Document Type: Article

References (51)

1. A. Bashan, Nat. Phys. 9, 667 (2013). 1745-2473 10.1038/nphys2727
2. A. Bashan, Nat. Commun. 3, 702 (2012). 2041-1723 10.1038/ncomms1705
3. S. V. Buldyrev, Nature 464, 1025 (2010). NATUAS 0028-0836 10.1038/nature08932
4. J. Gao, Nat. Phys. 8, 40 (2012). 1745-2473 10.1038/nphys2180
5. R. Parshani, S. V. Buldyrev, and S. Havlin, Phys. Rev. Lett. 105, 048701 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.048701
6. R. Parshani, Europhys. Lett. 92, 68002 (2010). EULEEJ 0295-5075 10.1209/0295-5075/92/68002
7. J. Shao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E 83, 036116 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.036116
8. E. A. Leicht, R. M. D'Souza, arXiv:0907.0894 (2009).
9. D. Cellai, E. López, J. Zhou, J. P. Gleeson, and G. Bianconi, Phys. Rev. E 88, 052811 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.052811
10. C. D. Brummitt, R. M. D'Souza, and E. A. Leicht, Proc. Natl. Acad. Sci. USA 109, E680 (2012). PNASA6 0027-8424 10.1073/pnas.1110586109
11. X.-L. Xu, Europhys. Lett. 93, 68002 (2011). EULEEJ 0295-5075 10.1209/0295-5075/93/68002
12. J. Hao, Chaos 21, 016104 (2011). CHAOEH 1054-1500 10.1063/1.3534792
13. K. Morino, G. Tanaka, and K. Aihara, Phys. Rev. E 83, 056208 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.056208
14. C.-G. Gu, S.-R. Zou, X.-L. Xu, Y.-Q. Qu, Y.-M. Jiang, D. R. He, H.-K. Liu, and T. Zhou, Phys. Rev. E 84, 026101 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.026101
15. X. Huang, J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E 83, 065101 (R) (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.065101
16. J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. 107, 195701 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.195701
17. Y. Hu, B. Ksherim, R. Cohen, and S. Havlin, Phys. Rev. E 84, 066116 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.066116
18. A. Bashan, R. Parshani, and S. Havlin, Phys. Rev. E 83, 051127 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.83.051127
19. R. Parshani, S. V. Buldyrev, and S. Havlin, Proc. Natl. Acad. Sci. USA 108, 1007 (2010). PNASA6 0027-8424 10.1073/pnas.1008404108
20. A. Bashan and S. Havlin, J. Stat. Phys. 145, 686 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0333-5
21. J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E 85, 066134 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.066134
22. A. Vespignani, Nature 464, 984 (2010). NATUAS 0028-0836 10.1038/464984a
23. S. Rinaldi, J. Peerenboom, T. Kelly, Control Systems, IEEE 21, 11 (2001). 0272-1708 10.1109/37.969131
24. J. Peerenboom, R. Fischer, and R. Whitfield, in Proc. CRIS/DRM/IIIT/NSF Workshop Mitigat. Vulnerab. Crit. Infrastruct. Catastr. Failures (Washington D.C., 2001).
25. F. Radicchi and A. Arenas, Nat. Phys. 9, 717 (2013). 1745-2473 10.1038/nphys2761
26. S.-W. Son, Europhys. Lett. 97, 16006 (2012). EULEEJ 0295-5075 10.1209/0295-5075/97/16006
27. A. Saumell-Mendiola, M. Á. Serrano, M. Boguñá, Phys. Rev. E 86, 026106 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.026106
28. R. G. Morris and M. Barthelemy, Phys. Rev. Lett. 109, 128703 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.128703
29. K. Zhao and G. Bianconi, J. Stat. Mech.: Theor. Expt. (2013) P05005. 10.1088/1742-5468/2013/05/P05005
30. J. Donges, Eur. Phys. J. B 84, 635 (2011). EPJBFY 1434-6028 10.1140/epjb/e2011-10795-8
31. J. Gao, S. V. Buldyrev, H. E. Stanley, X. Xu, and S. Havlin, Phys. Rev. E 88, 062816 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.062816
32. G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. 109, 248701 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109. 248701
33. S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. J. Pérez-Vicente, Y. Moreno, and A. Arenas, Phys. Rev. Lett. 110, 028701 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.028701
34. V. Rosato, Int. J. Crit. Infrastruct. 4, 63 (2008). 1475-3219 10.1504/IJCIS.2008.016092
35. W. Li, A. Bashan, S. V. Buldyrev, H. E. Stanley, and S. Havlin, Phys. Rev. Lett. 108, 228702 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.228702
36. Y. Berezin, arXiv:1310.0996 (2013).
37. P. K. Agarwal, in Military Communications Conference, San Jose, California, 2010 (MILCOM 2010) (IEEE, 2010), pp. 1824-1829.
38. Z. Wang, R. J. Thomas, and A. Scaglione, Generating Random Topology Power Grids (Institute of Electrical and Electronics Engineers, Waikoloa, 2008), p. 183.
39. R. Albert, I. Albert, and G. L. Nakarado, Phys. Rev. E 69, 025103 (R) (2004). PLEEE8 1539-3755 10.1103/PhysRevE.69.025103
40. R. Kinney, Eur. Phys. J. B 46, 101 (2005). EPJBFY 1434-6028 10.1140/epjb/e2005-00237-9
41. D. P. Chassin and C. Posse, Physica A 355, 667 (2005). PHYADX 0378-4371 10.1016/j.physa.2005.02.051
42. P. Hines, E. Cotilla-Sanchez, and S. Blumsack, Chaos 20, 033122 (2010). CHAOEH 1054-1500 10.1063/1.3489887
43. B. Carreras, IEEE Transact. Circuits I 51, 1733 (2004). ITCAEX 1057-7122 10.1109/TCSI.2004.834513
44. M. Barthélemy, Phys. Rep. 499, 1 (2011). 0370-1573 10.1016/j.physrep.2010.11.002
45. M. Wiedermann, Europhys. Lett. 102, 28007 (2013). EULEEJ 0295-5075 10.1209/0295-5075/102/28007
46. P. K. Agarwal, in INFOCOM, 2011 Proceedings IEEE (IEEE, Shanghai, China, 2011), pp. 1521-1529.
47. A. Bunde and S. Havlin, Fractals and Disordered Systems (Springer-Verlag New York, 1991).
48. L. Daqing, Nat. Phys. 7, 481 (2011). 1745-2473 10.1038/nphys1932
49. D. Stauffer and A. Aharony, Introduction To Percolation Theory (Taylor & Francis, New York, 1994).
50. M. M. Danziger, A. Bashan, Y. Berezin, and S. Havlin, J. Complex Networks, doi: 10.1093/comnet/cnu020.
51. D. Zhou, A. Bashan, R. Cohen, Y. Berezin, N. Shnerb, and S. Havlin, Phys. Rev. E 90, 012803 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.90.012803