Random networks: Eigenvalue spectra

Physica A: Statistical Mechanics and its Applications

Volumn 338, Issue 1-2 SPEC. ISS., 2004, Pages 76-83

  Dorogovtsev, S N ^a,b   Goltsev, A V ^a,b   Mendes, J F F ^a   Samukhin, A N ^a,b  

^a UNIVERSITY OF AVEIRO   (Portugal)

^b IOFFE INSTITUTE   (Russian Federation)

Author keywords

Bethe lattice; Complex networks; Internet; Random walk; Spectral analysis; Transfer matrix

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; INTERNET; SPECTRUM ANALYZERS; TREES (MATHEMATICS);

BETHE LATTICE; COMPLEX NETWORKS; RANDOM WALK; TRANSFER MATRIX;

RANDOM PROCESSES;

EID: 2942527531     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2004.02.027     Document Type: Conference Paper

References (21)

1. Dorogovtsev S.N., Mendes J.F.F. Evolution of Networks: From Biological Nets to the Internet and WWW. 2003;Oxford University Press, Oxford.
2. Barabási A.-L., Albert R. Science. 286:1999;509.
3. Strogatz S.H. Nature. 401:2001;268.
4. Albert R., Barabási A.-L. Rev. Mod. Phys. 74:2002;47.
5. Dorogovtsev S.N., Mendes J.F.F. Adv. Phys. 51:2002;1079.
6. Newman M.E.J. SIAM Rev. 45:2003;167.
7. Wigner E.P. Ann. Math. 62:1955;548 Wigner E.P. Ann. Math. 65:1957;203 Wigner E.P. Ann. Math. 67:1958;325.
8. Wigner E.P. Ann. Math. 62:1955;548 Wigner E.P. Ann. Math. 65:1957;203 Wigner E.P. Ann. Math. 67:1958;325.
9. Wigner E.P. Ann. Math. 62:1955;548 Wigner E.P. Ann. Math. 65:1957;203 Wigner E.P. Ann. Math. 67:1958;325.
10. Monasson R. Eur. Phys. J. B. 12:1999;555.
11. Farkas I.J., Derényi I., Barabási A.-L., Vicsek T. Phys. Rev. E. 64:2001;026704 Farkas I., Derenyi I., Jeong H., Neda Z., Oltvai Z.N., Ravasz E., Schubert A., Barabási A.-L., Vicsek T. Physica A. 314:2002;25.
12. Farkas I.J., Derényi I., Barabási A.-L., Vicsek T. Phys. Rev. E. 64:2001;026704 Farkas I., Derenyi I., Jeong H., Neda Z., Oltvai Z.N., Ravasz E., Schubert A., Barabási A.-L., Vicsek T. Physica A. 314:2002;25.
13. Goh K.-I., Kahng B., Kim D. Phys. Rev. E. 64:2001;051903.
14. K.A. Eriksen, I. Simonsen, S. Maslov, K. Sneppen, Cond-mat/0212001.
15. Faloutsos M., Faloutsos P., Faloutsos C. Comput. Commun. Rev. 29:1999;251.
16. Siganos G., Faloutsos M., Faloutsos P., Faloutsos C. IEEE-ACM Transactions on Networking. 11(4):2003;514-524.
17. Vukadinović D., Huang P., Erlebach T. Lect. Notes Comput. Sci. 2346:2002;83.
18. Rodgers G.J., Bray A.J. Phys. Rev. B. 37:1998;3557 Semerjian G., Cugliandolo L.F. J. Phys. A. 35:2002;4837 Mihail M., Papadimitriou C. Lect. Notes Comput. Sci. 254:2002;2483.
19. Rodgers G.J., Bray A.J. Phys. Rev. B. 37:1998;3557 Semerjian G., Cugliandolo L.F. J. Phys. A. 35:2002;4837 Mihail M., Papadimitriou C. Lect. Notes Comput. Sci. 254:2002;2483.
20. Rodgers G.J., Bray A.J. Phys. Rev. B. 37:1998;3557 Semerjian G., Cugliandolo L.F. J. Phys. A. 35:2002;4837 Mihail M., Papadimitriou C. Lect. Notes Comput. Sci. 254:2002;2483.
21. Dorogovtsev S.N., Goltsev A.V., Mendes J.F.F., Samukhin A.N. Phys. Rev. E. 68:2003;046109.