Analysis of complex contagions in random multiplex networks

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

Volumn 86, Issue 3, 2012, Pages

  Yaǧan, Osman ^a   Gligor, Virgil ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

RANDOM NETWORK; SWITCH STATE; THRESHOLD MODEL;

CONDENSED MATTER PHYSICS; PHYSICS;

MULTIPLEXING;

EID: 84866397967     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.036103     Document Type: Article

References (50)

1. D. J. Watts, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.082090499 99, 5766 (2002). (Pubitemid 34493213)
2. P. S. Dodds and D. J. Watts, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.218701 92, 218701 (2004).
3. W. Duan, Z. Chen, Z. Liu, and W. Jin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.026133 72, 026133 (2005). (Pubitemid 41520948)
4. J. D. Murray, Mathematical Biology, 3rd ed. (Springer, New York, 2002).
5. R. M. Anderson and R. M. May, Infectious Diseases of Humans (Oxford University Press, Oxford, UK, 1991).
6. S. V. Buldyrev, R. Parshani, G. Paul, H. E. Stanley, and S. Havlin, Nature NATUAS 0028-0836 10.1038/nature08932 464, 1025 (2010).
7. S. V. Buldyrev, N. W. Shere, and G. A. Cwilich, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.016112 83, 016112 (2011).
8. W. Cho, K.-I. Goh, and I.-M. Kim, arXiv: 1010.4971v1 (2010).
9. R. Cohen and S. Havlin, Complex Networks: Structure, Robustness and Function (Cambridge University Press, Cambridge, UK, 2010).
10. X. Huang, J. Gao, S. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.065101 83, 065101 (R) (2011).
11. 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).
12. A. Vespignani, Nature NATUAS 0028-0836 10.1038/464984a 464, 984 (2010).
13. O. Yaǧan, D. Qian, J. Zhang, and D. Cochran, IEEE Transactions on Parallel and Distributed Systems (TPDS) 1045-9219 10.1109/TPDS.2012.62 23 (9), 1708 (2012).
14. O. Yaǧan, D. Qian, J. Zhang, and D. Cochran, in Proceedings of 2011 IEEE Computer Communications Workshops (INFOCOM WKSHPS) (Shanghai, China, 2011), pp. 930-935.
15. M. Granovetter, Am. J. Sociol. 0002-9602 10.1086/226707 83, 1420 (1978).
16. M. E. J. Newman, S. Forrest, and J. Balthrop, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.035101 66, 035101 (R) (2002). (Pubitemid 40606426)
17. J. Balthrop, S. Forrest, M. E. J. Newman, and M. W. Williamson, Science SCIEAS 0036-8075 10.1126/science.1095845 304, 527 (2004). (Pubitemid 38541898)
18. T. C. Schelling, J. Conflict Resolut. 0022-0027 10.1177/ 002200277301700302 17, 381 (1973).
19. S. Tang, J. Yuan, X. Mao, X.-Y. Li, W. Chen, and G. Dai, in Proceedings of IEEE INFOCOM 2011 (Shanghai, China, 2011), pp. 2291-2299.
20. E. H. Spafford, The Internet Worm Incident, Tech. Rep. CSD-TR-933, Purdue University, 1991.
21. J. F. Padgett and C. K. Ansell, Am. J. Sociol. 0002-9602 10.1086/230190 98, 1259 (1993). (Pubitemid 126105409)
22. M. Szell, R. Lambiotte, and S. Thurner, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1004008107 107, 13636 (2010).
23. K.-M. Lee, J. Y. Kim, W. Cho, K.-I. Goh, and I. M. Kim, New J. Phys. 1367-2630 10.1088/1367-2630/14/3/033027 14, 033027 (2012).
24. C. D. Brummitt, K.-M. Lee, and K.-I. Goh, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.045102 85, 045102 (R) (2012).
25. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E 1539-3755 10.1103/PhysRevE.64.026118 64, 026118 (2001).
26. O. Yaǧan, D. Qian, J. Zhang, and D. Cochran, arXiv: 1112.4002v2 [cs.SI] (2011).
27. J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.046117 77, 046117 (2008). (Pubitemid 351630981)
28. P. S. Dodds and J. L. Payne, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.066115 79, 066115 (2009).
29. J. L. Payne, K. D. Harris, and P. S. Dodds, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.016110 84, 016110 (2011).
30. S. Melnik, J. A. Ward, J. P. Gleeson, and M. A. Porter, arXiv: 1111.1596v1 (2011).
31. B. Bollobás, Random Graphs, Cambridge Studies in Advanced Mathematics (Cambridge University Press, Cambridge, UK, 2001).
32. M. Molloy and B. Reed, Random Struct. Algor. 1042-9832 10.1002/rsa.3240060204 6, 161 (1995).
33. B. Söderberg, Phys. Rev. E 1539-3755 10.1103/PhysRevE.68.015102 68, 015102 (2003).
34. B. Söderberg, Acta Phys. Pol. B 34, 5085 (2003).
35. M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.016128 66, 016128 (2002). (Pubitemid 40599061)
36. A. Hackett, S. Melnik, and J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.056107 83, 056107 (2011).
37. S. N. Dorogovtsev, J. F. F. Mendes, and A. N. Samukhin, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.025101 64, 025101 (2001).
38. M. Boguñá and M. Á. Serrano, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.016106 72, 016106 (2005). (Pubitemid 41521093)
39. O. Dousse, in Proceedings of IEEE International Symposium on Information Theory (ISIT) (IEEE, Boston, MA, 2012), pp. 601-605.
40. B. Söderberg, Phys. Rev. E 1539-3755 10.1103/PhysRevE.68.026107 68, 026107 (2003).
41. J. P. Gleeson and D. J. Cahalane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.056103 75, 056103 (2007). (Pubitemid 46707812)
42. J. P. Sethna, K. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts, and J. D. Shore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.3347 70, 3347 (1993).
43. J. L. Payne, P. S. Dodds, and P. D. M. J. Eppstein, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.026125 80, 026125 (2009).
44. M. Á. Serrano and M. Boguñá, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.036133 72, 036133 (2005). (Pubitemid 41778171)
45. M. E. J. Newman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 103.058701 103, 058701 (2009).
46. J. C. Miller, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.020901 80, 020901 (2009).
47. M. Lelarge, Games Econ. Behav. GEBEEF 0899-8256 10.1016/j.geb.2012.03.009 75, 752 (2012).
48. E. Coupechoux and M. Lelarge, arXiv: 1202.4974v1 (2012).
49. C. Marlow, L. Byron, T. Lento, and I. Rosenn, http://overstated.net/2009/ 03/09/maintained-relationships-on-facebook.
50. J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.036107 80, 036107 (2009).