Graph zeta function and dimension of complex network

Modern Physics Letters B

Volumn 21, Issue 11, 2007, Pages 639-644

  Shanker, O ^a  

^a Bitfone Corporation   (United States)

Author keywords

Complex networks; Fractal dimension; Graph zeta function

Indexed keywords

EID: 34248513517     PISSN: 02179849     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217984907013146     Document Type: Article

References (26)

1. O. Shanker, Mod. Phys. Lett. B 21 (2007) 321-326.
2. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez and D.-U. Hwang, Phys. Rep. 424 (2006) 175-308.
3. M. E. J. Newman, SIAM Rev. 45 (2003) 167-256.
4. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74 (2002) 47-97.
5. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003).
6. M. E. J. Newman, A.-L. Barabási and D. J. Watts, The Structure and Dynamics of Networks (Princeton University Press, Princeton, 2006).
7. M. Girvan and M. E. J. Newman, Proc. Natl. Acad. Sci. USA 99 (2002) 7821-7826.
8. M. E. J. Newman, Eur. Phys. J. B 38 (2004) 321-330.
9. C.-Y. Lee and S. Jung, Phys. Rev. E 73 (2006) 066102.
10. O. Shanker, Mod. Phys. Lett. B 20 (2006) 649.
11. D. Ruelle, Commun. Math. Phys. 9 (1968) 267.
12. F. J. Dyson, Commun. Math. Phys. 12 (1969) 91.
13. J. Fröhlich and T. Spencer, Commun. Math. Phys. 84 (1982) 87.
14. M. Aizenman, J. T. Chayes, L. Chayes and C. M. Newman, J. Stat. Phys. 50 (1988) 1.
15. J. Z. Imbrie and C. M. Newman, Commun. Math. Phys. 118 (1988) 303.
16. E. Luijten and H. W. J. Blote, Int. J. Mod. Phys. C6 (1995) 359.
17. R. H. Swendson and J.-S. Wang, Phys. Rev. Lett. 58 (1987) 86.
18. U. Wolff, Phys. Rev. Lett. 62 (1989) 361.
19. E. Luijten and H. Messingfeld, Phys. Rev. Lett. 86 (2001) 5305.
20. S. A. Cannas, A. C. N. de Magalhaes and F. A. Tamarit, Phys. Rev. B 61 (2000) 1152.
21. K. Uzelac and Z. Glumac, Phys. Rev. Lett. 85 (2000) 5255.
22. B. Riemann, Über die Anzahl der Primzahlen uter Einer Gegebenen Gröbe (Montasb. der Berliner Akad., 1858), pp. 671-680.
23. B. Riemann, Gesammelte Werke (Teubner, Leipzig, 1892).
24. E. Titchmarsh, The Theory of the Riemann Zeta Function, 2nd edn. (Oxford University Press, 1986).
25. H. M. Edwards, Riemann's Zeta Function (Academic Press, 1974).
26. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications, 2nd edn. (Wiley, 2003).