Bond percolation on multiplex networks

Physical Review X

Volumn 6, Issue 2, 2016, Pages

  Hackett, A ^a   Cellai, D ^a,b   Gomez S ^c   Arenas, A ^c   Gleeson, J P ^a  

^a UNIVERSITY OF LIMERICK   (Ireland)

^b Clarendon House   (Ireland)

^c UNIVERSITAT ROVIRA I VIRGILI   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

AIR TRANSPORTATION; SOLVENTS;

ANALYTICAL APPROACH; BOND PERCOLATION; CONNECTED COMPONENT; CRITICAL PHENOMENON; LONDON RAIL; MULTIPLE PERCOLATION; MULTIPLEX NETWORKS; OCCUPATION PROBABILITY;

PERCOLATION (SOLID STATE);

EID: 84984887757     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.6.021002     Document Type: Article

References (44)

1. S. Boccaletti, G. Bianconi, R. Criado, C. I. del Genio, J. Gómez-Gardeñes, M. Romance, I. Sendiña-Nadal, Z. Wang, and M. Zanin, The Structure and Dynamics of Multilayer Networks, Phys. Rep. 544, 1 (2014).
2. M. Kivelä, A. Arenas, M. Barthelemy, J. P. Gleeson, Y. Moreno, and M. A. Porter, Multilayer Networks, J. Complex Netw. 2, 203 (2014).
3. E. A. Leicht and R. M. D'Souza, Percolation on Interacting Networks, arXiv:0907.0894.
4. S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Catastrophic Cascade of Failures in Interdependent Networks, Nature (London) 464, 1025 (2010).
5. R. Parshani, S. V. Buldyrev, and S. Havlin, Interdependent Networks: Reducing the Coupling Strength Leads to a Change from a First to Second Order Percolation Transition, Phys. Rev. Lett. 105, 048701 (2010).
6. R. Parshani, S. V. Buldyrev, and S. Havlin, Critical Effect of Dependency Groups on the Function of Networks, Proc. Natl. Acad. Sci. U.S.A. 108, 1007 (2011).
7. S.-W. Son, P. Grassberger, and M. Paczuski, Percolation Transitions Are Not Always Sharpened by Making Networks Interdependent, Phys. Rev. Lett. 107, 195702 (2011).
8. G. J. Baxter, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Avalanche Collapse of Interdependent Networks, Phys. Rev. Lett. 109, 248701 (2012).
9. G. Dong, J. Gao, L. Tian, R. Du, and Y. He, Percolation of Partially Interdependent Networks under Targeted Attack, Phys. Rev. E 85, 016112 (2012).
10. S.-W. Son, G. Bizhani, C. Christensen, P. Grassberger, and M. Paczuski, Percolation Theory on Interdependent Networks Based on Epidemic Spreading, Europhys. Lett. 97, 16006 (2012).
11. D. Zhou, H. E. Stanley, G. D'Agostino, and A. Scala, Assortativity Decreases the Robustness of Interdependent Networks, Phys. Rev. E 86, 066103 (2012).
12. L. D. Valdez, P. A. Macri, H. E. Stanley, and L. A. Braunstein, Triple Point in Correlated Interdependent Networks, Phys. Rev. E 88, 050803 (2013).
13. K. Zhao and G. Bianconi, Percolation on Interacting, Antagonistic Networks, J. Stat. Mech. (2013) P05005.
14. F. Radicchi, Percolation in Real Interdependent Networks, Nat. Phys. 11, 597 (2015).
15. Y. Hu, B. Ksherim, R. Cohen, and S. Havlin, Percolation in Interdependent and Interconnected Networks: Abrupt Change from Second-to First-Order Transitions, Phys. Rev. E 84, 066116 (2011).
16. S. Havlin, M. Dickison, and H. E. Stanley, Epidemics on Interconnected Networks, Phys. Rev. E 85, 066109 (2012).
17. F. Radicchi and A. Arenas, Abrupt Transition in the Structural Formation of Interconnected Networks, Nat. Phys. 9, 717 (2013).
18. S. D. S. Reis, Y. Hu, A. Babino, J. S. Andrade Jr., S. Canals, M. Sigman, and H. A. Makse, Avoiding Catastrophic Failure in Correlated Networks of Networks, Nat. Phys. 10, 762 (2014).
19. J. Gao, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Robustness of a Network of Networks, Phys. Rev. Lett. 107, 195701 (2011).
20. G. Bianconi and S. N. Dorogovtsev, Multiple Percolation Transitions in a Configuration Model of Network of Networks, Phys. Rev. E 89, 062814 (2014).
21. D. Cellai, E. López, J. Zhou, J. P. Gleeson, and G. Bianconi, Percolation in Multiplex Networks with Overlap, Phys. Rev. E 88, 052811 (2013).
22. N. Azimi-Tafreshi, J. Gómez-Gardeñes, and S. N. Dorogovtsev, k-Core Percolation on Multiplex Networks, Phys. Rev. E 90, 032816 (2014).
23. G. J. Baxter, S. N. Dorogovtsev, J. F. F. Mendes, and D. Cellai, Weak Percolation on Multiplex Networks, Phys. Rev. E 89, 042801 (2014).
24. M. De Domenico, A. Solé-Ribalta, E. Cozzo, M. Kivelä, Y. Moreno, M. A. Porter, S. Gómez, and A. Arenas, Mathematical Formulation of Multilayer Networks, Phys. Rev. X 3, 041022 (2013).
25. M. De Domenico, A. Solé-Ribalta, S. Gómez, and A. Arenas, Navigability of Interconnected Networks under Random Failures, Proc. Natl. Acad. Sci. U.S.A. 111, 8351 (2014).
26. S. Guha, D. Towsley, C. Capar, A. Swami, and P. Basu, Spanning Connectivity in a Multilayer Network and Its Relationship to Site-Bond Percolation, arXiv:1402.7057.
27. B. Min, S. D. Yi, K.-M. Lee, and K.-I. Goh, Network Robustness of Multiplex Networks with Interlayer Degree Correlations, Phys. Rev. E 89, 042811 (2014).
28. S. Watanabe and Y. Kabashima, Cavity-Based Robustness Analysis of Interdependent Networks: Influences of Intranetwork and Internetwork Degree-Degree Correlations, Phys. Rev. E 89, 012808 (2014).
29. M. Á. Serrano, L. Buzna, and M. Boguñá, Escaping the Avalanche Collapse in Self-Similar Multiplexes, New J. Phys. 17, 053033 (2015).
30. D. Cellai and G. Bianconi, Multiplex Networks with Heterogeneous Activities of the Nodes, arXiv:1505.01220.
31. J. Nagler, A. Lavina, and M. Timme, Impact of Single Links in Competitive Percolation, Nat. Phys. 7, 265 (2011).
32. K.-M. Lee, J. Y. Kim, W.-k. Cho, K.-I. Goh, and I.-M. Kim, Correlated Multiplexity and Connectivity of Multiplex Random Networks, New J. Phys. 14, 033027 (2012).
33. M. Zanin, Can We Neglect the Multi-Layer Structure of Functional Networks?, Physica (Amsterdam) 430A, 184 (2015).
34. P. Colomer de Simón and Marián Boguñá, Double Percolation Phase Transition in Clustered Complex Networks, Phys. Rev. X 4, 041020 (2014).
35. S. Melnik, M. A. Porter, P. J. Mucha, and J. P. Gleeson, Dynamics on Modular Networks with Heterogeneous Correlations, Chaos 24, 023106 (2014).
36. A. Cardillo, J. Gómez-Gardeñes, M. Zanin, M. Romance, D. Papo, F. del Pozo, and S. Boccaletti, Emergence of Network Features from Multiplexity, Sci. Rep. 3, 1344 (2013).
37. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Random Graphs with Arbitrary Degree Distributions and Their Applications, Phys. Rev. E 64, 026118 (2001).
38. O. Yağan, D. Qian, J. Zhang, and D. Cochran, Conjoining Speeds Up Information Diffusion in Overlaying Social-Physical Networks, IEEE J. Sel. Areas Commun. 31, 1038 (2013).
39. Y. Zhuang and O. Yağan, Information Propagation in Clustered Multilayer Networks, arXiv:1509.03909.
40. J. P. Gleeson, Cascades on Correlated and Modular Random Networks, Phys. Rev. E 77, 046117 (2008).
41. M. Molloy and B. Reed, A Critical Point for Random Graphs with a Given Degree Sequence, Random Struct. Algorithms 6, 161 (1995).
42. A. Margolina, H. J. Herrmann, and D. Stauffer, Size of Largest and Second Largest Cluster in Random Percolation, Phys. Lett. A 93, 73 (1982).
43. A. Clauset, C. R. Shalizi, and M. E. J. Newman, Power-Law Distributions in Empirical Data, SIAM Rev. 51, 661 (2009).
44. C. Buono, L. G. Alvarez-Zuzek, P. A. Macri, and L. A. Braunstein, Epidemics in Partially Overlapped Multiplex Networks, PLoS One 9, e92200 (2014).