Spectral density of random graphs with topological constraints

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 19, 2010, Pages

  Rogers, Tim ^a   Vicente, Conrad Pérez ^b   Takeda, Koujin ^c   Castillo, Isaac Pérez ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF BARCELONA   (Spain)

^c TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951999580     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/19/195002     Document Type: Article

References (40)

1. Guhr T, Müller-Groeling A and Weidenmüller H A 1998 Phys. Rep. 299 190
2. Wigner E P 1958 Ann. Math. 67 325
3. Dyson F J 1962 J. Math. Phys. 3 140
4. Mehta M L 1991 Random Matrices (New York: Academic)
5. Rodgers G J and Bray A J 1988 Phys. Rev. B 37 3557
6. Bauer M and Golinelli O 2001 J. Stat. Phys. 103 301
7. Biroli G and Monasson R 1999 J. Phys. A: Math. Gen. 32 L255
8. Dorogovtsev S N, Goltsev A V, Mendes J F F and Samukhin A N 2003 Phys. Rev. E 68 046109
9. Mirlin A D and Fyodorov Y V 1991 J. Phys. A: Math. Gen. 24 2273
10. Nagao T and Tanaka T 2007 J. Phys. A: Math. Theor. 40 4973
11. Nagao T and Rodgers G J 2008 J. Phys. A: Math. Theor. 41 265002
12. Semerjian G and Cugliandolo L F 2002 J. Phys. A: Math. Gen. 35 4837
13. Rogers T, Pérez Castillo I, Kühn R and Takeda K 2008 Phys. Rev. E 78 031116
14. Kühn R 2008 J. Phys. A: Math. Theor. 41 295002
15. Dean D S 2002 J. Phys. A: Math. Gen. 35 L153
16. Ciliberti S, Grigera T S, Martín-Mayor V, Parisi G and Verrocchio P 2005 Phys. Rev. B 71 153104
17. Bordenave C and Lelarge M 2007 arXiv:0801.0155
18. Fortunato S 2010 Phys. Rep. 486 75-174
19. Farkas I J, Derenyi I, Barabasi A L and Vicsek T 2001 Phys. Rev. E 64 026704
20. Skantzos N private communication
21. Bianconi G, Coolen A C C and Pérez Vicente C J 2008 Phys. Rev. E 78 016114
22. Rogers T and Pérez Castillo I 2009 Phys. Rev. E 79 012101
23. Pérez Vicente C J and Coolen A C C 2008 J. Phys. A: Math. Theor. 41 255003
24. Oraby T 2007 J. Theor. Probab. 20 1572
25. Jalan S 2009 Phys. Rev. E 80 04610
26. Ergun G and Kühn R 2009 J. Phys. A: Math. Theor. 42 395001
27. Edwards S F and Jones R C 1976 J. Phys. A: Math. Gen. 9 1595
28. Dorogovtsev S N, Goltsev A V and Mendes J F F 2008 Rev. Mod. Phys. 80 1275
29. Berlin T H and Kac M 1952 Phys. Rev. 86 821
30. Mézard M and Parisi G 2001 Eur. Phys. J. B 20 217
31. Steger A and Wormald N C 1999 Comb. Prob. Comput. 8 377
32. Bayati M, Kim J H and Saberi A 2007 Proc. 10th Int. Workshop on Approximation and the 11th Int. Workshop on Randomization, and Combinatorial Optimization. Algorithms and Techniques (Berlin: Springer) p 326
33. Blitzstein J and Diaconis P 2006 Unpublished manuscript
34. Catanzaro M, Bogũ M and Pastor-Satorras R 2005 Phys. Rev. E 71 027103
35. Mihail M and Papadimitriou C 2002 On the Eigen value Power Law Randomization and Approximation Techniques in Computer Science (Lecture Notes in Computer Science (LNCS)) vol 2483 ed J D P Rolim and S Vadhan (Berlin: Springer) pp 254-62
36. Golinelli O 2003 arXiv:cond-mat/0301437
37. Viswanath V S and Müller G 1994 The Recursion Method: Application to Many-Body Dynamics (Berlin: Springer)
38. Montanari A and Rizzo T 2005 J. Stat. Mech.: Theor. Exp. P10011
39. Parisi G and Slanina F 2006 J. Stat. Mech.: Theor. Exp. L02003
40. Chertkov M and Chernyak V Y 2006 J. Stat. Mech.: Theor. Exp. P06009