Spectral transitions in networks

New Journal of Physics

Volumn 8, Issue , 2006, Pages

  Palla, Gergely ^a,b   Vattay, Gábor ^a,b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b INSTITUTE FOR ADVANCED STUDY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; GRAPH THEORY; MATRIX ALGEBRA; NUMERICAL ANALYSIS; STATISTICAL METHODS;

GAUSSIAN ORTHOGONAL ENSEMBLE (GOE); RANDOM MATRIX THEORY; RANDOM NETWORKS;

SPECTRUM ANALYSIS;

EID: 33845349980     PISSN: 13672630     EISSN: 13672630     Source Type: Journal    
DOI: 10.1088/1367-2630/8/12/307     Document Type: Article

References (47)

1. Watts D J and Strogatz S H 1998 Nature 393 440
2. Barabási A-L and Albert R 1999 Science 286 509
3. Albert R and Barabási A-L 2002 Rev. Mod. Phys. 74 47
4. Mondes J F F and Dorogovtsev S N 2003 Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford: Oxford University Press)
5. Barrat A, Barthelemy M and Vespignani A 2004 Phys. Rev. Lett. 92 228701
6. Wigner E P 1967 SIAM Rev. 9 1
7. Hofstetter E and Schreiber M 1993 Phys. Rev. B 48 16979
8. Bohigas O, Giannoni M J and Schmit C 1984 Phys. Rev. Lett. 52 1
9. Plearou V, Gopikrishnan P, Rosenow B, Amaral L A N and Stanley H 1999 Phys. Rev. Lett. 83 1471
10. Seba P 2003 Phys. Rev. Lett. 91 19
11. Luo F, Zhong J, Yang Y, Scheuermann R H and Zhou J 2006 Phys. Lett. A 357 420
12. Blatt M, Wiseman S and Domany E 1996 Phys. Rev. Lett. 76 3251
13. Girvan M and Newman M E J 2002 Proc. Natl Acad. Sci. USA 99 7821
14. Zhou H 2003 Phys. Rev. E 67 061901
15. Newman M E J 2004 Phys. Rev. E 69 066133
16. Radicchi F, Castellano C, Cecconi F, Loreto V and Parisi D 2004 Proc. Natl Acad. Sci. USA 101 2658
17. Wilkinson D M and Huberman B A 2004 Proc. Natl Acad. Sci. USA 101 5241
18. Reichardt J and Bornholdt S 2004 Phys. Rev. Lett. 93 218701
19. Scott J 2000 Social Network Analysis: A Handbook 2nd edn (London: Sage)
20. Shiffrin R M and Börner K 2004 Proc. Natl Acad. Sci. USA 101 5183
21. Everitt B S 1993 Cluster Analysis 3rd edn (London: Edward Arnold)
22. Knudsen S 2004 A Guide to Analysis of DNA Microarray Data 2nd edn (New York: Wiley-Liss)
23. Newman M E J 2004 Eur. J. Phys. B 38 321
24. Palla G, Derényi I, Farkas I and Vicsek T 2005 Nature 435 814
25. Derényi I, Palla G and Vicsek T 2005 Phys. Rev. Lett. 94 160202
26. Ravasz E, Somera A L, Mongru D A, Oltvai Z and Barabási A-L 2002 Science 297 1551
27. Spirin V and Mirny L A 2003 Proc. Natl Acad. Sci. USA 100 12123
28. Onnela J P, Chakraborti A, Kaski K, Kertész J and Kanto A 2003 Phys. Rev. E 68 056110
29. Watts D J, Dodds P S and Newman M E J 2002 Science 296 1302
30. Vukov J and Szabó Gy 2005 Phys. Rev. E 71 036133
31. Szabó Gy, Vukov J and Szolnoki A 2005 Phys. Rev. E 72 047107
32. Mehta M L 1991 Random Matrices 2nd edn (New York: Academic)
33. Crisanti A, Paladin G and Vulpiani A 1993 Products of Random Matrices in Statistical Physics (Springer Series in Solid-State Sciences vol 104) (Berlin: Springer)
34. Farkas I J, Derényi I, Barabási A-L and Vicsek T 2001 Phys. Rev. E 64 026704
35. Dorogovtsev S N, Goltsev A V, Mendes J F and Samukhin A N 2003 Phys. Rev. E 68 046109
36. Wigner J 1957 Proc. Can. Math. Congr. (Toronto: University of Toronto Press)
37. Dyson F J 1962 J. Math. Phys. 3 140
38. Brody T A 1973 Lett. Nuovo Cimento 7 482
39. Brody T A, Flores J, French J B, Mello P A, Pandey A and Wong S S M 1981 Rev. Mod. Phys. 53 385
40. Robnik M 1983 J. Phys. A: Math. Gen. 16 3971
41. Prosen T and Robnik M 1994 J. Phys. A: Math. Gen. 27 8059
42. Karremans K, Vassen W and Hogervost W 1998 Phys. Rev. Lett. 81 4843
43. Erdos P and Rényi A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
44. Online at http://www.netdimes.org
45. Nelson D L, McEvoy C L and Schreiber T A The University of South Florida Word Association, Rhyme, and Word Fragment Norms Online at http://www.usf.edu/ FreeAssociation/
46. Xenarios I, Rice D W, Salwinski L, Baron M K, Marcotte E M and Eisenberg D 2000 Nucl. Ac. Res. 28 289
47. Albert R, Jeong H and Barabási A-L 2000 Nature 406 378