A vibrational approach to node centrality and vulnerability in complex networks

Physica A: Statistical Mechanics and its Applications

Volumn 389, Issue 17, 2010, Pages 3648-3660

  Estrada, Ernesto ^a   Hatano, Naomichi ^b  

^a Institute of Complex Systems   (United Kingdom)

^b INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

Centrality; Information centrality; Kirchhoff index; Network vibrations; Social networks; Spectral theory

Indexed keywords

NETWORK SECURITY; SOCIAL NETWORKING (ONLINE);

CENTRALITY; EXACT RELATIONS; INFORMATION CENTRALITY; KIRCHHOFF INDICES; SPECTRAL THEORY; THERMAL BATH;

COMPLEX NETWORKS;

EID: 77953684650     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.03.030     Document Type: Article

References (32)

1. Freeman L.C. Sociometry 40 (1977) 35
2. Borgatti S.P. Social Netw. 27 (2005) 55
3. Wasserman S., and Faust K. Social Netw. Analysis (1994), Cambridge University Press, Cambridge
4. Jeong H., Mason S.P., Barabási A.-L., and Oltvai Z.N. Nature 411 (2001) 41
5. Estrada E. Proteomics 6 (2006) 35
6. del Rio G., Koschutzki D., and Coello G. BMC Syst. Biol. 3 (2009) 102
7. Jordan F. Phil. Trans. R. Soc. B 364 (2009) 1733
8. Estrada E., and Bodin Ö. Ecol. Appl. 18 (2008) 1810
9. Barthelemy M., Barrat A., and Vespignani A. Adv. Complex Syst. 10 (2007) 5
10. Choi J.H., Barnett G.A., and Chou B.S. Global Netw. 6 (2006) 81
11. Freeman L.C. J. Soc. Struct. 9 (2008) 1
12. Holme P., Kin B.J., Yoon C.N., and Han S.K. Phys. Rev. E 65 (2002) 056109
13. Zhao L., Park K., and Lai Y.-C. Phys. Rev. E 70 (2004) 035101
14. Wang J., Dong L., Hill D.J., and Zhang G.H. Physica A 387 (2008) 6671
15. Santiago A., and Benito R.M. Physica A 388 (2009) 2234
16. Chen G., Dong Z.Y., Hill D.J., and Zhang G.H. Physica A 388 (2009) 4259
17. R. Albert, H. Jeong, A.-L. Barabási, Nature 406 (200) 378.
18. Kim B.J., Hong H., and Choi M.Y. J. Phys. A: Math. Gen 36 (2003) 6329-6336
19. Stephenson K., and Zelen M. Social Netw. 11 (1989) 1
20. Fiedler M. Czechoslovak Math. J. 23 (1973) 298
21. Spielman D.A., and Teng S.-H. Linear Algebra Appl. 421 (2007) 284
22. Estrada E. Eur. Phys. J. B 52 (2006) 563
23. Klein D.J., and Randić M. J. Math. Chem. 12 (1993) 81
24. Xiao W., and Gutman I. Theor. Chem. Acc. 110 (2003) 284
25. Yang Y.J., and Zhang H.P. J. Phys. A.: Math. Theor. 41 (2008) 445203
26. Chen H.Y., and Zhang F.J. Discrete Appl. Math. 155 (2007) 654
27. Zhou B., and Trinajstić N. J. Math. Chem. 46 (2009) 283
28. Kapferer B. Strategy and transaction in an African factory (1972), Manchester University Press, Manchester
29. http://vlado.fmf.uni-lj.si/pub/networks/data/Ucinet/UciData.htm
30. Travençolo B.A.N., Viana M.P., and Costa L.F. New J. Phys. 11 (2009) 063019
31. Estrada E., and Hatano N. Phys. Rev. E 77 (2008) 036111
32. Estrada E., and Hatano N. Appl. Math. Comput. 214 (2009) 500