Percolation theory and fragmentation measures in social networks

Physica A: Statistical Mechanics and its Applications

Volumn 378, Issue 1, 2007, Pages 11-19

  Chen, Yiping ^a   Paul, Gerald ^a   Cohen, Reuven ^b   Havlin, Shlomo ^c   Borgatti, Stephen P ^d   Liljeros, Fredrik ^e   Eugene Stanley, H ^a  

^a BOSTON UNIVERSITY   (United States)

^b Boston University   (United States)

^c BAR ILAN UNIVERSITY   (Israel)

^d BOSTON COLLEGE   (United States)

^e STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Fragmentation; Percolation theory; Social network

Indexed keywords

COMPUTATION THEORY; GRAPH THEORY; NUMERICAL METHODS;

FRAGMENTATION; NODE REMOVAL STRATEGIES; PERCOLATION THEORY; SOCIAL NETWORKS;

STATISTICAL MECHANICS;

EID: 33847039956     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.11.074     Document Type: Article

References (30)

1. Paul G., Sreenivasan S., and Stanley H.E. Phys. Rev. E 72 (2005) 056130
2. Albert R., Jeong H., and Barabási A.-L. Nature, London 406 (2000) 378
3. Newman M.E.J. Phys. Rev. Lett. 89 (2002) 208701
4. Paxon V. IEEE/ACM Trans. Networking 5 (1997) 601
5. Cohen R., Erez K., Ben-Avraham D., and Havlin S. Phys. Rev. Lett. 85 (2000) 4626
6. Callaway D.S., Newmann M.E.J., Strogatz S.H., and Watts D.J. Phys. Rev. Lett. 85 (2000) 5468
7. Cohen R., et al. Phys. Rev. Lett. 86 (2001) 3682
8. Valente A., Sarkar A., and Stone H.A. Phys. Rev. Lett. 92 (2004) 118702
9. Paul G., Tanizawa T., Havlin S., and Stanley H.E. Eur. Phys. J. B 38 (2004) 187
10. Chung F., and Lu L. Ann. Combinatorics 6 (2002) 125
11. Burda Z., and Krzywicki A. Phys. Rev. E 67 (2003) 046118
12. Song C., et al. Nature 433 (2005) 392
13. L.C. Freeman, The Development of Social Network Analysis: A Study in the Sociology of Science, Empirical, 2004.
14. S. Wasserman, K. Faust, D. Iacobucci, M. Granovetter, Social Network Analysis: Methods and Applications, Cambridge, 1994.
15. Tanizawa T., Paul G., Cohen R., Havlin S., and Stanley H.E. Phys. Rev. E 71 (2005) 047101
16. Pastor-Satorras R., and Vespignani A. Phys. Rev. E 65 (2002) 036104
17. Holme P., Kim B.J., Yoon C.N., and Han S.K. Phys. Rev. E 65 (2002) 056109
18. Borgatti S.P. Comp. Math. Org. Theory 12 (2006) 21
19. Group of connected nodes known as "component" in the language of sociology.
20. Bunde A., and Havlin S. Fractals and Disordered Systems (1995), Springer, Berlin
21. Stauffer D., and Aharony A. Introduction to Percolation Theory (1994), Taylor & Francis, London
22. Cohen R., et al. Phys. Rev. E 66 (2002) 036113
23. Erdo{combining double acute accent}s P., and Rényi A. Publ. Math. (Debrecen) 6 (1959) 290
24. Cohen R., Havlin S., and Ben-Avraham D. Structural properties of scale free networks. In: Bornholdt S., and Schuster H.G. (Eds). Handbook of Graphs and Networks vol. 4 (2002), Wiley-VCH, New York
25. Newman M.E.J. SIAM Rev. 45 (2003) 167
26. 〈WWW.SCB.SE〉.
27. Viboud C., Bjørnstad O.N., Smith D.L., Simonsen L., Miller M.A., and Grenfell B.T. Science 312 (2006) 447
28. Csányi G., and Szendro{combining double acute accent}i B. Phys. Rev. E 69 (2004) 036131
29. Klemm K., and Eguíluz V.M. Phys. Rev. E 65 (2002) 057102
30. E.J. Bienenstock, Balancing Efficiency and Vulnerability in Social Networks, this volume.