Multifractal analysis of complex networks

Chinese Physics B

Volumn 21, Issue 8, 2012, Pages

  Wang, Dan Ling ^a,b   Yu, Zu Guo ^a,c   Anh, V ^a  

^a QUEENSLAND UNIVERSITY OF TECHNOLOGY   (Australia)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

^c XIANGTAN UNIVERSITY   (China)

Author keywords

box covering algorithm; complex networks; multifractality

Indexed keywords

BIOLOGICAL NETWORKS; COMPLEX NETWORKS; COVERING ALGORITHMS; FRACTAL PATTERNS; MULTIFRACTAL ANALYSIS; MULTIFRACTAL BEHAVIOR; MULTIFRACTALITY; NETWORK MODELS; NUMERICAL RESULTS; PROTEIN INTERACTION NETWORKS; RANDOM NETWORK; REAL NETWORKS; SCALE FREE NETWORKS; SCIENCE AND TECHNOLOGY; SMALL WORLD NETWORKS; SPATIAL HETEROGENEITY;

ACTIVE NETWORKS; ALGORITHMS; FRACTAL DIMENSION;

PROTEINS;

EID: 84864687681     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/21/8/080504     Document Type: Article

References (55)

1. Song C, Havlin S and Makse H A 2005 Nature 433 392 (Pubitemid 40203314)
2. Lee C Y and Jung S 2006 Phys. Rev. E 73 066102 (Pubitemid 43837766)
3. Guo L and Cai X 2009 Chin. Phys. Lett. 26 088901
4. Erdös P and Rényi A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
5. Milgram S 1967 Psychol. Today 2 60
6. Albert R, Jeong H and Barabasi A L 1999 Nature 401 130 (Pubitemid 29436307)
7. Albert R and Barabasi A L 2002 Rev. Mod. Phys. 74 47
8. Faloutsos M, Faloutsos P and Faloutsos C 1999 Comput. Commun. Rev. 29 251 (Pubitemid 32081870)
9. Mandelbrot B B 1983 The Fractal Geometry of Nature (New York: Academic Press)
10. Feder J 1988 Fractals (New York: Plenum)
11. Falconer K 1997 Techniques in Fractal Geometry (New York: Wiley)
12. Eguiluz V M, Hernandez-Garcia E, Piro O and Klemm K 2003 Phys. Rev. E 68 055102(R)
13. Song C, Gallos L K, Havlin S and Makse H A 2007 J. Stat. Mech.: Theor. Exp. 3 P03006
14. Kim J S, Goh K I, Salvi G, Oh E, Kahng B and Kim D 2007 Phys. Rev. E 75 016110 (Pubitemid 46191790)
15. Zhou W X, Jiang Z Q and Sornette D 2007 Physica A 375 741 (Pubitemid 44895636)
16. Gao L, Hu Y and Di Z 2008 Phys. Rev. E 78 046109
17. Shanker O 2007 Mod. Phys. Lett. B 21 321
18. Rozenfeld H D and Makse H A 2009 Chem. Eng. Sci. 64 4572
19. Rozenfeld H D, Song C and Makse H A 2010 Phys. Rev. Lett. 104 025701
20. Liu J X and Kong X M 2010 Acta Phys. Sin. 59 2244 (in Chinese)
21. Grassberger P and Procaccia I 1983 Phys. Rev. Lett. 50 346
22. Halsey T C, Jensen M H, Kadanoff L P, Procaccia I and Shraiman B I 1986 Phys. Rev. A 33 1141
23. Canessa E 2000 J. Phys. A: Math. Gen. 33 3637
24. Anh V V, Tieng Q M and Tse Y K 2000 Int. Trans. Oper. Res. 7 349
25. Yu Z G, Anh V and Lau K S 2001 Physica A 301 351 (Pubitemid 33089171)
26. Yu Z G, Anh V and Lau K S 2001 Phys. Rev. E 64 31903
27. Yu Z G, Anh V and Wang B 2001 Phys. Rev. E 63 11903
28. Anh V, Lau K S and Yu Z G 2002 Phys. Rev. E 66 031910 (Pubitemid 40606414)
29. Yu Z G, Anh V and Lau K S 2003 Phys. Rev. E 68 021913
30. Yu Z G, Anh V and Lau K S 2004 J. Theor. Biol. 226 341 (Pubitemid 37476181)
31. Zhou L Q, Yu Z G, Deng J Q, Anh V and Long S C 2005 J. Theor. Biol. 232 559 (Pubitemid 39575098)
32. Yu Z G, Anh V, Lau K S and Zhou L Q 2006 Phys. Rev. E 73 031920
33. Yu Z G, Xiao Q J, Shi L, Yu J W and Anh V 2010 Chin. Phys. B 19 068701
34. Zhu S M, Yu Z G and Anh V 2011 Chin. Phys. B 20 010505
35. Han J J and Fu W J 2010 Chin. Phys. B 19 010205
36. Kantelhardt J W, Koscielny-Bunde E, Rybski D, Braun P, Bunde A and Havlin S 2006 J. Geophys. Res. 111 D01106 (Pubitemid 43263779)
37. Veneziano D, Langousis A and Furcolo P 2006 Water Resour. Res. 42 W06D15 (Pubitemid 44156596)
38. Venugopal V, Roux S G, Foufoula-Georgiou E and Arneodo A 2006 Water Resour. Res. 42 W06D14 (Pubitemid 44156595)
39. Yu Z G, Anh V, Wanliss J A and Watson S M 2007 Chaos, Solitons Fractals 31 736 (Pubitemid 44262492)
40. Zang B J and Shang P J 2007 Chin. Phys. 16 565
41. Yu Z G, Anh V and Eastes R 2009 J. Geophys. Res. 114 A 05214
42. Yu Z G, Anh V, Wang Y, Mao D and Wanliss J 2010 J. Geophys. Res. 115 A 10219
43. Polla G, Lovasz L and Vicsek T 2010 Proc. Natl. Acad. Sci. USA 107 7640
44. Dijkstra E W 1959 Numerische Mathematik 1 269
45. Newman M E J 2003 SIAM Rev. 45 167
46. Barabsi A L and Albert R 1999 Science 286 509
47. Newman M E J and Watts D J 1999 Phys. Lett. A 263 341
48. Watts D J and Strogatz S H 1998 Nature 393 440 (Pubitemid 28292183)
49. Opheusden J H H, Bos M T A and van der Kaaden G 1996 Physica A 227 183
50. Smith T G and Lange G D 1998 Fractal in Biology and Medicine eds. Nonnenmacher T F, Losa G A and Weibel E R (Basel: Birkhäuser)
51. Fernández E, Bolea J A, Ortega G and Louis E 1999 J. Neurosci. Methods 89 151 (Pubitemid 29361510)
52. Cytoscape software: http://cytoscapeweb.cytoscape.org/
53. BioGRID: http://thebiogrid.org/download.php
54. DIP: http://dip.doe-mbi.ucla.edu/dip/Download.cgi
55. Lee E, Jung H, Radivojac P, Kim J W and Lee D 2009 BMC Bioinformatics 10 (Suppl. 2) S2