Percolation in multiplex networks with overlap

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

Volumn 88, Issue 5, 2013, Pages

  Cellai, Davide ^a   López, Eduardo ^b,c   Zhou, Jie ^a   Gleeson, James P ^a   Bianconi, Ginestra ^d  

^a UNIVERSITY OF LIMERICK   (Ireland)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c UNIVERSITY OF OXFORD   (United Kingdom)

^d QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX INFRASTRUCTURES; CRITICAL BEHAVIOR; DIFFERENT LAYERS; MULTIPLEX NETWORKS; PERCOLATION PHASE TRANSITION; SINGLE LAYER; TRANSPORTATION NETWORK;

COMPLEX NETWORKS; MULTIPLEXING; SOLVENTS;

NETWORK LAYERS;

EID: 84889248544     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.052811     Document Type: Article

References (43)

1. R. Albert and A.-L. Barabasi, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
2. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
3. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
4. S. N. Dorogovtsev, A. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1275 80, 1275 (2008).
5. A. Barrat, M. Barthélemy, and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge, UK, 2008).
6. S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Nature (London) NATUAS 0028-0836 10.1038/nature08932 464, 1025 (2010).
7. S. M. Rinaldi, J. P. Peerenboom, and T. K. Kelly, IEEE Control Syst. Mag. ISMAD7 0272-1708 10.1109/37.969131 21, 11 (2001). (Pubitemid 34092056)
8. M. Kurant and P. Thiran, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.138701 96, 138701 (2006).
9. V. Rosato, L. Issacharoff, F. Tiriticco, S. Meloni, S. D. Porcellinis, and R. Setola, Int. J. Crit. Infrastruct. 1475-3219 10.1504/IJCIS.2008.016092 4, 63 (2008).
10. R. G. Morris and M. Barthélemy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.128703 109, 128703 (2012).
11. A. Cardillo, J. Gómez-Gardeñes, M. Zanin, M. Romance, D. Papo, F. del Pozo, and S. Boccaletti, Sci. Rep. 2045-2322 10.1038/srep01344 3, 1344 (2013).
12. M. Szell, R. Lambiotte, and S. Thurner, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1004008107 107, 13636 (2010).
13. J. Doges, H. Schultz, N. Marwan, Y. Zou, and J. Kurths, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2011-10795-8 84, 635 (2011).
14. E. Bullmore and O. Sporns, Nat. Rev. Neurosci. 1471-003X 10.1038/nrn2575 10, 186 (2009).
15. P. J. Mucha, T. Richardson, K. Macon, M. A. Porter, and J.-P. Onnela, Science SCIEAS 0036-8075 10.1126/science.1184819 328, 876 (2010).
16. L. Dueñas-Osorio and A. Kwasinski, Earthquake Spectra 8755-2930 10.1193/1.4000054 28, S581 (2012).
17. I. Hernandez-Fajardo and L. Dueñas-Osorio, Earthquake Spectra 8755-2930 10.1193/1.3544052 27, 23 (2011).
18. A. Halu, R. J. Mondragón, P. Panzarasa, and G. Bianconi, PLoS ONE 10.1371/journal.pone.0078293 8, e78293 (2013).
19. O. Woolley-Meza, C. Thiemann, D. Grady, J. J. Lee, H. Seebens, B. Blasius, and D. Brockmann, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2011- 20208-9 84, 589 (2011).
20. V. Nicosia, G. Bianconi, V. Latora, and M. Barthelemy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.111.058701 111, 058701 (2013).
21. J. Y. Kim and K.-I. Goh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.111.058702 111, 058702 (2013).
22. G. Bianconi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.87.062806 87, 062806 (2013).
23. M. De Domenico, arXiv: 1306.0519.
24. R. Parshani, S. V. Buldyrev, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.048701 105, 048701 (2010).
25. 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).
26. J. Gao, S. V. Buldyrev, H. E. Stanley, and S. Havlin, Nat. Phys. 1745-2473 10.1038/nphys2180 8, 40 (2012).
27. R. Parshani, C. Rozenblat, D. Ietri, C. Ducruet, and S. Havlin, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/92/68002 92, 68002 (2010).
28. G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.051134 83, 051134 (2011).
29. D. Cellai, A. Lawlor, K. A. Dawson, and J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.87.022134 87, 022134 (2013).
30. G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.248701 109, 248701 (2012).
31. S.-W. Son, G. Bizhani, C. Christensen, P. Grassberger, and M. Paczuski, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/97/16006 97, 16006 (2012).
32. S. Watanabe and Y. Kabashima, arXiv: 1308.1210.
33. Béla Bollobás, Random Graphs 73 (Cambridge University Press, Cambridge, UK, 2001).
34. C. D. Brummitt, R. M. D'Souza, and E. A. Leicht, Proc. Natl. Acad. Sci. USA 10.1073/pnas.1110586109 109, E680 (2012).
35. K. Zhao and G. Bianconi, J. Stat. Mech. 10.1088/1742-5468/2013/05/P05005 (2013) P05005.
36. S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. J. Pérez-Vicente, Y. Moreno, and A. Arenas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.028701 110, 028701 (2013).
37. S. Funk and V. A. A. Jansen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.036118 81, 036118 (2010).
38. A. Saumell-Mendiola, M. Á. Serrano, and M. Boguñá, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.026106 86, 026106 (2012).
39. J. Gómez-Gardeñes, I. Reinares, A. Arenas, and L. M. Floría, Sci. Rep. 10.1038/srep00620 2, 620 (2012).
40. E. Cozzo, R. A. Baños, S. Meloni, and Y. Moreno, Phys. Rev. E 10.1103/PhysRevE.88.050801 88, 050801 (R) (2013).
41. M. Mezard and A. Montanari, Information, Physics and Computation (Oxford University Press, Oxford, 2009).
42. M. Li, R.-R. Liu, C.-X. Jia, and B.-H. Wang, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/15/9/093013 15, 093013 (2013).
43. Y. Hu, D. Zhou, R. Zhang, Z. Han, and S. Havlin, arXiv: 1308.1862.