Navigability of complex networks

Nature Physics

Volumn 5, Issue 1, 2009, Pages 74-80

  Bogũá, Marián ^a   Krioukov, Dmitri ^b   Claffy, K C ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTED COMPUTER SYSTEMS; SET THEORY; TOPOLOGY;

COMMUNICATION PATH; DISTRIBUTED COMPUTATIONS; EFFICIENT COMMUNICATIONS; GLOBAL INTELLIGENCE; GLOBAL KNOWLEDGE; NETWORK STRUCTURES; ROUTING INFORMATION; STRUCTURAL CHARACTERISTICS;

COMPLEX NETWORKS;

EID: 58149232341     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1130     Document Type: Article

References (43)

1. Albert, R. & Barabasi, A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47-97 (2002).
2. Newman, M. E. J. The structure and function of complex networks. SIAM Rev. 45, 167-256 (2003).
3. Dorogovtsev, S. N. & Mendes, J. F. F. Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford Univ. Press, 2003).
4. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M. & Hwang, D.-U. Complex networks: Structure and dynamics. Phys. Rep. 424, 175-308 (2006).
5. Castells, M. The Rise of the Network Society (Blackwell, 1996).
6. Pastor-Satorras, R. & Vespignani, A. Evolution and Structure of the Internet. A Statistical Physics Approach (Cambridge Univ. Press, 2004).
7. Watts, D. J., Dodds, P. S. & Newman, M. E. J. Identity and search in social networks. Science 296, 1302-1305 (2002).
8. Girvan, M. & Newman, M. E. J. Community structure in social and biological networks. Proc. Natl Acad. Sci. USA 99, 7821-7826 (2002).
9. Menczer, F. Growing and navigating the small world Web by local content. Proc. Natl Acad. Sci. USA 99, 14014-14019 (2002).
10. Leicht, E. A., Holme, P. & Newman, M. E. J. Vertex similarity in networks. Phys. Rev. E 73, 026120 (2006).
11. Crandall, D., Cosley, D., Huttenlocher, D., Kleinberg, J. & Suri, S. Proc. ACM Int. Conf. on Knowledge Discovery and Data Mining (ACM, 2008).
12. Clauset, A., Moore, C. & Newman, M. E. J. Hierarchical structure and the prediction of missing links in networks. Nature 453, 98-101 (2008).
13. Ángeles Serrano, M., Krioukov, D. & Boguñá, M. Self-similarity of complex networks and hidden metric spaces. Phys. Rev. Lett. 100, 078701 (2008).
14. Travers, J. & Milgram, S. An experimental study of the small world problem. Sociometry 32, 425-443 (1969).
15. Watts, D. J. & Strogatz, S. H. Collective dynamics of small-world networks. Nature 393, 440-442 (1998).
16. Kleinberg, J. Navigation in a small world. Nature 406, 845 (2000).
17. Kleinberg, J. STOC '00: Proc. Thirty-Second Annual ACM Symp. on Theory of Computing 163-170 (ACM, 2000).
18. Kleinberg, J. M. in Small-World Phenomena and the Dynamics of Information (eds Dietterich, T. G., Becker, S. & Ghahramani, Z.) 431-438 (MIT Press, 2001).
19. Manku, G. S., Naor, M. & Wieder, U. Proc. 36th ACM Symp. on Theory of Computing (STOC) 54-63 (ACM, 2004).
20. Martel, C. 23rd ACM Symp. Principles of Distributed Computing (PODC) 179-188 (ACM, 2004).
21. Nguyen, V. & Martel, C. SODA '05: Proc. Sixteenth Annual ACM-SIAM Symp. on Discrete Algorithms 311-320 (Society for Industrial and Applied Mathematics, 2005).
22. Nguyen, V. & Martel, C. Proc. Fourth Workshop on Analytic Algorithmics and Combinatorics 213-227 (SIAM, 2008).
23. Simsek, Ö. & Jensen, D. in Proc. Nineteenth Int. Joint Conf. in Artificial Intelligence (eds Kaelbling, L. P. & Saffiotti, A.) 304-310 (Professional Book Center, 2005).
24. Lebhar, E. & Schabanel, N. in Proc. 31st Int. Colloquium on Automata, Languages and Programming Vol. 3142 (eds Diaz, J., Karhumäki, J., Lepistö, A. & Sannella, D.) 894-905 (Lecture Notes in Computer Science, Springer, 2004).
25. Fraigniaud, P. in Proc of the 13th Annual European Symposium Vol. 3669 (eds Brodal, G. S. & Leonardi, S.) 791-802 (Lecture Notes in Computer Science, Springer, 2005).
26. Fraigniaud, P., Gavoille, C. & Paul, C. Eclecticism shrinks even small worlds. Distrib. Comput. 18, 279-291 (2006).
27. Fraigniaud, P., Gavoille, C., Kosowski, A., Lebhar, E. & Lotker, Z. in Proc. Nineteenth Annual ACM Symp. on Parallel Algorithms and Architectures (eds Gibbons, P. B. & Scheideler, C.) 1-7 (ACM, 2007).
28. Fraigniaud, P. & Gavoille, C. in Proc. Twentieth Annual Symposium on Parallelism in Algorithms and Architectures (eds auf der Heide, F. M. & Shavit, N.) 62-69 (ACM, 2008) SPAA.
29. Chaintreau, A., Fraigniaud, P. & Lebhar, E. in Automata, Languages and Programming Vol. 5125 (eds Aceto, L. et al.) 133-144 (Lecture Notes in Computer Science, Springer, 2008).
30. Kleinberg, J. Complex networks and decentralized search algorithms. Proc. Int. Congr. Math. (ICM) 3, 1019-1044 (2006).
31. Amaral, L. A. N., Scala, A., Barthélemy, M. & Stanley, H. E. Classes of small-world networks. Proc. Natl Acad. Sci. 97, 11149-11152 (2000).
32. Meyer, D., Zhang, L. & Fall, K. (eds). RFC4984 (The Internet Architecture Board, 2007).
33. Krioukov, D., claffy, kc, Fall, K. & Brady, A. On compact routing for the Internet. Comput. Commun. Rev. 37, 41-52 (2007).
34. Ravasz, E., Gnanakaran, S. & Toroczkai, Z. Network structure of protein folding pathways. Preprint at 〈http://arxiv.org/abs/0705.0912〉 (2007).
35. Toroczkai, Z., Kozma, B., Bassler, K. E., Hengartner, N. W. & Korniss, G. Gradient networks. J. Phys. A: Math. Theor. 41, 155103 (2008).
36. Krioukov, D., Papadopoulos, F., Boguna, M. & Vahdat, A. Efficient navigation in scale-free networks embedded in hyperbolic metric spaces. Preprint at 〈http://arxiv.org/abs/0805.1266〉 (2008).
37. Boguñá, M. & Pastor-Satorras, R. Class of correlated random networks with hidden variables. Phys. Rev. E 68, 036112 (2003).
38. Giot, M. et al. A protein interaction map of Drosophila melanogaster. Science 302, 1727-1736 (2003).
39. Mahadevan, P. et al. The Internet AS-level topology: Three data sources and one definitive metric. Comput. Commun. Rev. 36, 17-26 (2006).
40. Boguna, M., Pastor-Satorras, R., Diaz-Guilera, A. & Arenas, A. Models of social networks based on social distance attachment. Phys. Rev. E 70, 056122 (2004).
41. Jeong, H., Tombor, B., Albert, R., Oltvai, Z. N. & Barabási, A.-L. The large-scale organization of metabolic networks. Nature 407, 651-654 (2000).
42. Barrat, A., Barthélemy, M., Pastor-Satorras, R. & Vespignani, A. The architecture of complex weighted networks. Proc. Natl Acad. Sci. USA 101, 3747-3752 (2004).
43. 〈http://www.transtats.bts.gov/〉