Scale-free networks as preasymptotic regimes of superlinear preferential attachment

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 2, 2008, Pages

  Krapivsky, Paul ^a   Krioukov, Dmitri ^b  

^a USA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PUBLIC WORKS; TELECOMMUNICATION NETWORKS; THERMODYNAMICS;

ANALYTIC SOLUTIONS; ASYMPTOTIC REGIMES; AVERAGE DEGREE; DEGREE DISTRIBUTIONS; EXTENSIVE SIMULATIONS; FINITE SIZE; GROWING NETWORK; NETWORK EVOLUTION; NETWORK FORMATIONS; PREASYMPTOTIC REGIME; PREFERENTIAL ATTACHMENT; REAL NETWORKS; SCALE-FREE NETWORKS; STRUCTURAL CONSTRAINTS; SUPERLINEAR; SUPERLINEAR GROWTH; THERMODYNAMIC LIMIT;

FRACTAL DIMENSION;

EID: 50249134854     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.026114     Document Type: Article

References (29)

1. P. Erdös and A. Rényi, Publ. Math. (Debrecen) PUMAAR 0033-3883 6, 290 (1959).
2. M. Boguñá and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036112 68, 036112 (2003).
3. P. Mahadevan, D. Krioukov, K. Fall, and A. Vahdat, Comput. Commun. Rev. CCRED2 0146-4833 10.1145/1151659.1159930 36, 135 (2006).
4. M. Angeles Serrano, D. Krioukov, and M. Boguñá, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.078701 100, 078701 (2008).
5. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
6. S. Zhou and R. J. Mondragón, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066108 70, 066108 (2004).
7. M. Fayed, P. L. Krapivsky, J. Byers, M. Crovella, D. Finkel, and S. Redner, Comput. Commun. Rev. CCRED2 0146-4833 10.1145/956981.956986 33, 41 (2003).
8. M. A. Serrano, M. Boguñá, and A. Díaz-Guilera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.038701 94, 038701 (2005).
9. M. A. Serrano, M. Boguñá, and A. Díaz-Guilera, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00057-5 50, 249 (2006).
10. P. L. Krapivsky, S. Redner, and F. Leyvraz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4629 85, 4629 (2000).
11. P. L. Krapivsky and S. Redner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066123 63, 066123 (2001).
12. R. Oliveira and J. Spencer, Internet Math. ZZZZZZ 1542-7951 2, 121 (2005).
13. E. Giroux, Not. Am. Math. Soc. AMNOAN 0002-9920 52, 42 (2005).
14. P. L. Krapivsky and S. Redner, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/45/302 35, 9517 (2002).
15. S. Maslov, K. Sneppen, and A. Zaliznyak, Physica A PHYADX 0378-4371 10.1016/j.physa.2003.06.002 333, 529 (2004).
16. G. Bianconi, G. Caldarelli, and A. Capocci, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066116 71, 066116 (2005).
17. P. Mahadevan, D. Krioukov, M. Fomenkov, B. Huffaker, X. Dimitropoulos, K. C. Claffy, and A. Vahdat, Comput. Commun. Rev. CCRED2 0146-4833 10.1145/1111322.1111328 36, 17 (2006).
18. S. Zhou, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.016124 74, 016124 (2006).
19. S. Zhou and R. J. Mondragón, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/173 9, 173 (2007).
20. V. Colizza, A. Flammini, M. A. Serrano, and A. Vespignani, Nat. Phys. ZZZZZZ 1745-2473 2, 110 (2006).
21. M. Boguñá, R. Pastor-Satorras, and A. Vespignani, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00038-8 38, 205 (2004).
22. S. N. Dorogovtsev and J. F. F. Mendes, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.025101 63, 025101 (2001).
23. S. N. Dorogovtsev and J. F. F. Mendes, Handbook of Graphs and Networks, edited by, S. Bornholdt, and, H. G. Schuster, (Wiley-VCH, Berlin, 2002), Chap..
24. J. Leskovec, J. Kleinberg, and C. Faloutsos, ACM Trans. Knowledge Discovery from Data 1, 1 (2007).
25. A. J. Winnick, Toward Two Societies: The Changing Distributions of Income and Wealth in the U.S. Since 1960 (Praeger, New York, 1989).
26. A. Ornstein, Class Counts: Education, Inequality, and the Shrinking Middle Class (Rowman & Littlefield, Washington, 2007).
27. J. B. Davies, S. Sandström, A. Shorrocks, and E. N. Wolff, World Institute for Development Economics Research, Research Paper No. 2007/77, 2007 (unpublished).
28. J. B. Davies, S. Sandström, A. Shorrocks, and E. N. Wolff, World Institute for Development Economics Research, Discussion Paper 2008/03, 2008 (unpublished).
29. Z. Burda, D. Johnston, J. Jurkiewicz, M. Kamiński, M. A. Nowak, G. Papp, and I. Zahed, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.026102 65, 026102 (2002).