Self-similarity of complex networks and hidden metric spaces

Physical Review Letters

Volumn 100, Issue 7, 2008, Pages

  Serrano, M Ángeles ^a   Krioukov, Dmitri ^b   Boguñá, Marián ^c  

^a Institute of Applied Physics   (Switzerland)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; HIDDEN MARKOV MODELS; TOPOLOGY;

COMPLEX NETWORKS; HIDDEN METRIC SPACES; THRESHOLDING RENORMALIZATION SCHEME; TOPOLOGICAL REFLECTION;

LARGE SCALE SYSTEMS;

EID: 40849116812     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.078701     Document Type: Article

References (23)

1. B. Mandelbrot, Fractals: Form, Chance and Dimension (W. H. Freeman and Co., San Francisco, 1977).
2. H.E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University, Oxford, 1971).
3. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002); RMPHAT 0034-6861 10.1103/RevModPhys.74.47
4. M.E.J. Newman, SIAM Rev. 45, 167 (2003); SIREAD 0036-1445 10.1137/S003614450342480
5. S.N. Dorogovtsev and J.F.F. Mendes, Evolution of networks: From biological nets to the Internet and WWW (Oxford University, Oxford, 2003).
6. C. Song, S. Havlin, and H.A. Makse, Nature (London) NATUAS 0028-0836 433, 392 (2005); 10.1038/nature03248
7. C. Song S. Havlin H.A. Makse Nature Phys. 2, 275 (2006); NPAHAX 1745-2481 10.1038/nphys266
8. K.I. Goh, G. Salvi, B. Kahng, and D. Kim, Phys. Rev. Lett. 96, 018701 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.018701
9. J.S. Kim, K.I. Goh, B. Hahng, and D. Kim, New J. Phys. 9, 177 (2007). NJOPFM 1367-2630 10.1088/1367-2630/9/6/177
10. D.J. Watts and S.H. Strogatz, Nature (London) NATUAS 0028-0836 393, 440 (1998). 10.1038/30918
11. R. Cohen and S. Havlin, Phys. Rev. Lett. 90, 058701 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.058701
12. M. Boguñá and R. Pastor-Satorras, Phys. Rev. E 68, 036112 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.68.036112
13. G. Caldarelli, A. Capocci, P.D.L. Rios, and M.A. Muñoz, Phys. Rev. Lett. 89, 258702 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.258702
14. B. Söderberg, Phys. Rev. E 66, 066121 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.066121
15. E.A. Bender and E.R. Canfield, J. Comb. Theory Ser. A JCBTA7 0097-3165 24, 296 (1978). 10.1016/0097-3165(78)90059-6
16. P. Mahadevan, D. Krioukov, M. Fomenkov, B. Huffaker, X. Dimitropoulos, kc claffy, and A. Vahdat, Computer Communication Review CCRED2 0146-4833 36, 17 (2006). 10.1145/1111322.1111328
17. M. Boguñá, R. Pastor-Satorras, A. Díaz-Guilera, and A. Arenas, Phys. Rev. E 70, 056122 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70. 056122
18. A. Barrat, M. Barthélemy, R. Pastor-Satorras, and A. Vespignani, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 101, 3747 (2004). 10.1073/pnas.0400087101
19. A.F. Rozenfeld, R. Cohen, D. ben Avraham, and S. Havlin, Phys. Rev. Lett. 89, 218701 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.218701
20. M.A. Serrano, M. Boguñá, and A. Díaz-Guilera, Phys. Rev. Lett. 94, 038701 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.038701
21. M.T. Gastner and M.E.J. Newman, Eur. Phys. J. B 49, 247 (2006). EPJBFY 1434-6028 10.1140/epjb/e2006-00046-8
22. D.J. Watts, P.S. Dodds, and M.E.J. Newman, Science 296, 1302 (2002). SCIEAS 0036-8075 10.1126/science.1070120
23. F. Menczer, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 99, 14014 (2002). 10.1073/pnas.212348399