Cascades on clique-based graphs

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

Volumn 87, Issue 6, 2013, Pages

  Hackett, Adam ^a   Gleeson, James P ^b  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b UNIVERSITY OF LIMERICK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL APPROACH; CASCADE SIZES; DYNAMICAL MODEL; RANDOM GRAPHS; SOCIAL NETWORKS;

CONDENSED MATTER PHYSICS; PHYSICS;

SOLVENTS;

ALGORITHM; COMPUTER SIMULATION; GAME; POPULATION DYNAMICS; SOCIAL SUPPORT; STATISTICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; GAME THEORY; MODELS, STATISTICAL; POPULATION DYNAMICS; SOCIAL SUPPORT;

EID: 84879218040     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.062801     Document Type: Article

References (41)

1. A. Barrat, M. Barthélemy, and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge Univeristy Press, Cambridge, 2008).
2. D. Easley and J. Kleinberg, Networks, Crowds, and Markets: Reasoning About a Highly Connected World (Cambridge Univeristy Press, Cambridge, 2010).
3. M. E. J. Newman, Networks: An Introduction (Oxford Univeristy Press, Oxford, 2010).
4. D. J. Watts, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.082090499 99, 5766 (2002). (Pubitemid 34493213)
5. J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.046117 77, 046117 (2008). (Pubitemid 351630981)
6. E. A. Bender and E. R. Canfield, J. Comb. Theory Ser. A JCBTA7 0097-3165 10.1016/0097-3165(78)90059-6 24, 296 (1978).
7. B. Bollobás, Eur. J. Comb. 1, 311 (1980).
8. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E 1063-651X 10.1103/PhysRevE.64.026118 64, 026118 (2001).
9. A. Vázquez and Y. Moreno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.015101 67, 015101 (R) (2003).
10. A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.051105 78, 051105 (2008).
11. J. P. Gleeson, S. Melnik, and A. Hackett, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.066114 81, 066114 (2010).
12. P. Trapman, Theor. Popul. Biol. TLPBAQ 0040-5809 10.1016/j.tpb.2006.11. 002 71, 160 (2007). (Pubitemid 46186472)
13. J. C. Miller, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.020901 80, 020901(R) (2009).
14. M. E. J. Newman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 103.058701 103, 058701 (2009).
15. J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.036107 80, 036107 (2009).
16. 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).
17. 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).
18. X. Huang, S. Shao, H. Wang, S. V. Buldyrev, H. E. Stanley, and S. Havlin, Europhys. Lett. 0295-5075 10.1209/0295-5075/101/18002 101, 18002 (2013).
19. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998). (Pubitemid 28292183)
20. A. Vázquez, R. Pastor-Satorras, and A. Vespignani, Phys. Rev. E 1063-651X 10.1103/PhysRevE.65.066130 65, 066130 (2002). (Pubitemid 40606661)
21. M. Á. Serrano and M. Boguñá, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.056114 74, 056114 (2006). (Pubitemid 44833704)
22. A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.056101 73, 056101 (2006). (Pubitemid 43672796)
23. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.040601 96, 040601 (2006). (Pubitemid 43270863)
24. S. R. Broadbent and J. M. Hammersley, Proc. Cambridge Philos. Soc. MPCPCO 0305-0041 10.1017/S0305004100032680 53, 629 (1957).
25. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, London, 1992).
26. A. Hackett, S. Melnik, and J. P. Gleeson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.056107 83, 056107 (2011).
27. J. P. Gleeson and D. J. Cahalane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.056103 75, 056103 (2007). (Pubitemid 46707812)
28. 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).
29. D. Dhar, P. Shukla, and J. P. Sethna, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/15/013 30, 5259 (1997). (Pubitemid 127106101)
30. P. Shukla, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979203023276 17, 5583 (2003).
31. D. J. Watts and P. S. Dodds, J. Consum. Res. 0093-5301 10.1086/518527 34, 441 (2007).
32. D. Lopez-Pintado and D. J. Watts, Ration. Soc. 1043-4631 10.1177/1043463108096787 20, 399 (2008).
33. J. P. Gleeson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107. 068701 107, 068701 (2011).
34. N. E. Friedkin, J. Math. Soc. 0022-250X 10.1080/0022250X.1986.9990008 12, 103 (1986).
35. N. E. Friedkin and E. C. Johnsen, Social Influence Network Theory: A Sociological Examination of Small Group Dynamics (Cambridge University Press, Cambridge, 2011).
36. M. E. J. Newman, Phys. Rev. E 1063-651X 10.1103/PhysRevE.68.026121 68, 026121 (2003).
37. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
38. M. W. Wong, An Introduction to Pseudo-Differential Operators, 2nd ed. (World Scientific, Singapore, 1999).
39. 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)
40. O. Yaǧan and V. Gligor, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.036103 86, 036103 (2012).
41. B. Karrer and M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.066118 82, 066118 (2010).