How to fit the degree distribution of the air network?

Physica A: Statistical Mechanics and its Applications

Volumn 368, Issue 1, 2006, Pages 262-272

  Li, W ^a,b   Wang, Q A ^a   Nivanen, L ^a   Le Mehaute A ^a  

^a Inst Sup des Mat du Mans   (France)

^b CENTRAL CHINA NORMAL UNIVERSITY   (China)

Author keywords

Air network; Degree distribution; Q statistics

Indexed keywords

COMPUTATIONAL METHODS; PROBABILITY DISTRIBUTIONS; STATISTICAL MECHANICS; STATISTICS;

AIR NETWORK; DEGREE DISTRIBUTION; Q-STATISTICS;

AIR;

EID: 33646849866     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.11.050     Document Type: Article

References (33)

1. Watts D.J., and Strogatz S.H. Nature 393 (1998) 440
2. Watts D.J. Small Worlds: The Dynamics of Networks between Order and Randomness (1999), Princeton University Press, Princeton, NJ
3. Newman M.E.J., Strogatz S.H., and Watts D.J. Phys. Rev. E 64 (2001) 026118
4. Ito T., Chiba T., Ozawa R., Yoshida M., Hattori M., and Sakaki Y. Proc. Nat. Acad. Sci. USA 97 (2001) 1143
5. Montoya J.M., and Solé R.V. J. Theor. Biol. 214 (2002) 405
6. Williams R.J., Martinez N.D., Berlow E.L., Dunne J.A., and Barabsi A.-L. Proc. Nat. Acad. Sci. USA 99 (2002) 12913
7. i Cancho R.F., Janssen C., and Solé R.V. Phys. Rev. E 64 (2001) 046119
8. Barabási A.-L., and Albert R. Nature 286 (1999) 509
9. Albert R., Jeong H., and Barabási A.-L. Nature 401 (1999) 130
10. Jeong H., Tombor B., Albert R., Oltval Z.N., and Barabási A.-L. Nature 407 (2000) 651
11. Yook S.H., Jeong H., Barabási A.-L., and Tu Y. Phys. Rev. Lett. 86 (2001) 5835
12. Newman M.E.J. Proc. Natl. Acad. Sci. USA 98 (2001) 404
13. Newman M.E.J. Phys. Rev. E 64 (2001) 016131
14. Newman M.E.J. Phys. Rev. E 64 (2001) 016132
15. Liljeros F., Edling C.R., Amaral L.A.N., Stanley H.E., and Aberg Y. Nature 411 (2001) 907
16. i Cancho R.F., and Solé R.V. Proc. R. Soc. London B 268 (2001) 2261
17. Here, we only include airports which produce commercial flights. Actually there are in total around 5000 airports in US, but most of them are either private or of military use.
18. Chi L.P., Wang R., Su H., Xu X.P., Zhao J.S., Li W., and Cai X. Chin. Phys. Lett. 20 8 (2003) 1393
19. Li W., and Cai X. Phys. Rev. E 69 (2004) 046106
20. Reed W.J. Physica A 319 (2003) 469
21. D.R. White, N. Kejzar, C. Tsallis, D. Farmer, S. White, cond-mat/0508028.
22. Zipf G.K. Human Behavior and the Principle of Least Effort (1949), Addison-Wesley, Reading, MA
23. Gutenberg B., and Richter R.F. Bull. Seismol. Soc. Am. 34 (1944) 185
24. Lu E.F., and Hamilton R.J. Astrophys. J. 380 (1991) 89
25. Miller G.A. Am. J. Psychol. 70 (1957) 311
26. Li W., and IEEE. Trans. Inform. Theory 38 (1992) 1842
27. M.E.J. Newman, cond-mat/0412004, see more references therein.
28. Yule G.U. Philos. Trans. R. Soc. London B 213 (1925) 21
29. Wills J.C., and Yule G.U. Nature 109 (1922) 177
30. Bak P. How Nature Works: The Science of Self-Organized Criticality (1996), Copernicus, New York
31. Tsallis C. J. Stat. Phys. 52 (1988) 479
32. Tsallis C., Bemski G., and Mendes R.S. Phys. Lett. A 257 (1999) 93
33. Le Mehaute A., and Appleby A.J. Energy 2 (1977) 105