Randomness of random networks: A random matrix analysis

EPL

Volumn 87, Issue 4, 2009, Pages

  Jalan, S ^a,b   Bandyopadhyay, J N ^a,b  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79051471514     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/87/48010     Document Type: Article

References (41)

1. Strogatz S. H. 2001 Nature 410 268
2. Albert R. and Barabsi A. L. 2002 Rev. Mod. Phys. 74 47
3. Boccaletti S. et al 2006 Phys. Rep. 424 175
4. da F. Costa L. et al 2007 Adv. Phys. 56 167
5. Ravsaz E. et al 2002 Science 297 1551
6. Guimer R. and Amaral L. A. N. 2005 Nature 433 895
7. Cohen J. D. and Tong F. 2001 Science 293 2405
8. Treves A. 2005 Cognit. Neuropsychol. 22 276
9. Ohtsuki H. et al 2006 Nature 441 502
10. Sinha S. 2005 Physica A 346 147
11. Watts D. J. and Strogatz S. H. 1998 Nature 393 440
12. Costa L da F. and Rodrigues F. A. 2009 EPL 85 48001
13. Cvetković D. M. et al 1997 Spectra of Graphs: Theory and Applications, 3rd revised edition (Academic Press)
14. Farkas I. J. et al 2001 Phys. Rev. E 64 026704
15. Dorogovtsev S. N. et al 2003 Phys. Rev. E 68 046109
16. de Aguiar M. A. M. and Bar-Yam Y. 2005 Phys. Rev. E 71 016106
17. Kim D. and Kahng B. 2007 Chaos 17 026115
18. Bandyopadhyay J. N. and Jalan S. 2007 Phys. Rev. E 76 026109
19. Palla G. and Vattay G. 2006 New J. Phys. 8 307
20. Jalan S. and Bandyopadhyay J. N. 2007 Phys. Rev. E 76 046107
21. Jalan S. and Bandyopadhyay J. N. 2008 Physica A 387 667
22. Mehta M. L. 1991 Random Matrices 2nd edition (New York: Academic Press)
23. Guhr T. et al 1998 Phys. Rep. 299 189
24. Laloux L. et al 1999 Phys. Rev. Lett. 83 1467
25. Plerou V. et al 1999 Phys. Rev. Lett. 83 1471
26. Santhanam M. S. and Patra P. K. 2001 Phys. Rev. E 64 016102
27. Seba P. 2003 Phys. Rev. Lett. 91 198104
28. Kottos T. and Smilansky U. 1997 Phys. Rev. Lett. 79 4794
29. Kottos T. and Smilansky U. 2003 J. Phys. A: Math. Gen. 36 3501
30. Bohigas O., Giannoni M.-J. and Schmidt C. 1985 in Chaotic Behaviour in Quantum Systems ed Casati G. (New York: Plenum Press) 103
31. Newman M. E. J. and Watts D. J. 1999 Phys. Lett. A 263 341
32. Barrat A. arXiv:cond-mat/9903323
33. Barthelemy M. and Amaral L. A. N. 1999 Phys. Rev. Lett. 82 3180
34. Barthelemy M. and Amaral L. A. N. 1999 Phys. Rev. Lett. 82 5180 (E)
35. Edwards J. T. and Thouless D. J. 1972 J. Phys. C 5 807
36. Al'tshuler B. L. and Shklovskii B. I. 1986 Sov. Phys. JETP 64 127
37. Jalan S. unpublished
38. Dyson F. J. and Mehta M. L. 1963 J. Math. Phys. 4 701
39. http://vlado.fmf.uni-lj.si/pub/networks/data/bio/Yeast/Yeast.htm
40. May R. M. 1973 Stability and Complexity in Model Ecosystems (Princeton: Princeton University Press)
41. Pikovsky A., Rosenblum M. and Kurths J. 2001 Synchronization: A Universal Concept in Nonlinear Dynamics (Cambridge University Press)