Low-temperature behaviour of social and economic networks

Entropy

Volumn 15, Issue 8, 2013, Pages 3148-3169

  Garlaschelli, Diego ^a   Ahnert, Sebastian E ^b   Fink, Thomas M A ^c   Caldarelli, Guido ^c,d,e  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c London Institute for Mathematical Sciences   (United Kingdom)

^d IMT SCHOOL FOR ADVANCED STUDIES LUCCA   (Italy)

^e UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

Complex networks; Graph ensembles; Graph temperature

Indexed keywords

EID: 84884188844     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e15083238     Document Type: Article

References (35)

1. Albert, R.; Barab́asi, A.-L. Statistical mechanics of complex networks. Rev. Mod. Phys. 2002, doi:10.1103/RevModPhys.74.47.
2. Newman, M.E.J. The structure and function of complex networks. SIAM Rev. 2003, 45, 167-256.
3. Granovetter, M. S. The strength of weak ties. Am. J. Sociol. 1973, 1360-1380.
4. Karsai, M.; Kivela, M.; Pan, R. K.; Kaski, K.; Kert́esz, J.; Barab́asi, A. L.; Saramaki, J. Small but slow world: How network topology and burstiness slow down spreading. Phys. Rev. E 2011, 83, 025102.
5. Holland, P.W.; Leinhardt, S. An exponential family of probability distributions for directed graphs. J. Am. Stat. Assoc. 1981, 76, 33-50.
6. Park, J.; Newman, M.E.J. Statistical mechanics of networks. Phys. Rev. E 2004, 70, 066117.
7. Berg, J.; L̈assig, M. Correlated random networks. Phys. Rev. Lett. 2002, 89, 228701.
8. Burda, Z.; Jurkiewicz, J.; Krzywicki, A. Perturbing general uncorrelated networks. Phys. Rev. E 2004, 69, 026106.
9. Garlaschelli, D.; Loffredo, M.I. Multispecies grand-canonical models for networks with reciprocity. Phys. Rev. E 2006, 73, 015101(R).
10. Garlaschelli, D.; Loffredo, M.I. Generalized bose-fermi statistics and structural correlations in weighted networks. Phys. Rev. Lett. 2009, 102, 038701.
11. Bianconi, G. Entropy of network ensembles Phys. Rev. E 2009, 79, 036114.
12. Squartini, T.; Garlaschelli, D. Analytical maximum-likelihood method to detect patterns in real networks. New J. Phys. 2011, 13, 083001.
13. Squartini, T.; Picciolo, F.; Ruzzenenti, F.; Garlaschelli, D. Reciprocity of weighted networks. Physics 2012, arXiv:1208.4208.
14. Squartini, T.; Garlaschelli, D. Triadic Motifs and Dyadic Self-organization in the World Trade Network. In Self-Organizing Systems; Kuipers, F.A., Heegaard, P.E., Eds.; Springer: Berlin/Heidelberg, Germany, 2012; pp. 24-35.
15. Picciolo, F.; Ruzzenenti, F.; Basosi, R.; Squartini, T.; Garlaschelli, D. The Role of Distances in the World Trade Web. In Proceedings of the Eighth International Conference on Signal Image Technology and Internet Based Systems (SITIS), Naples, Italy, 25-29 Nov. 2012; pp. 784-792.
16. Newman, M.E.J.; Strogatz, S.H.; Watts, D.J. Random graphs with arbitrary degree distributions and their applications. Phys. Rev. E 2001, 64, 026118.
17. Caldarelli, G.; Capocci, A.; De Los Rios, P.; Mũnoz, M.A. Scale-free networks from varying vertex intrinsic fitness. Phys. Rev. Lett. 2002, 89, 258702.
18. Bogũńa, M.; Pastor-Satorras, R. Class of correlated random networks with hidden variables. Phys. Rev. E 2003, 68, 036112.
19. Ahnert, S.E.; Garlaschelli, D.; Fink, T.M.; Caldarelli, G. Ensemble approach to the analysis of weighted networks. Phys. Rev. E 2007, 76, 016101.
20. Park, J.; Newman, M.E.J. Origin of degree correlations in the Internet and other networks. Phys. Rev. E 2003, 68, 026112.
21. Gabrielli, A.; Caldarelli, G.; Pietronero, L. Invasion percolation with temperature and the nature of self-organized criticality in real systems. Phys. Rev. E 2000, 62, 7638-7641.
22. Garlaschelli, D.; Loffredo, M.I. Fitness-dependent topological properties of the world trade web. Phys. Rev. Lett. 2004, 93, 188701.
23. Watts, D.J.; Strogatz, S.H. Collective dynamics of small-worldnetworks. Nature 1998, 393, 440-442.
24. Barth́elemy, M. Spatial networks. Phys. Rep. 2011, 499, 1-101.
25. Ruzzenenti, F.; Picciolo, F.; Basosi, R.; Garlaschelli, D. Spatial effects in real networks: Measures, null models, and applications. Phys. Rev. E 2012, 86, 066110.
26. Krioukov, D.; Papadopoulos, F.; Vahdat, A.; Boguna, M. Curvature and temperature of complex networks. Phys. Rev. E 2009, 80, 035101(R).
27. Krioukov, D.; Papadopoulos, F.; Kitsak, M.; Vahdat, A.; Boguna, M. Hyperbolic geometry of complex networks. Phys. Rev. E 2010, 82, 036106.
28. Valori, L.; Picciolo, F.; Allansdottir, A.; Garlaschelli, D. Reconciling long-term cultural diversity and short-term collective social behavior. Proc. Natl. Acad. Sci. USA 2012, 109, 1068-1073.
29. Almaas, E.; Kov́acs, B.; Vicsek, T.; Oltvai, Z.N.; Barab́asi, A.-L. Global organization of metabolic fluxes in the bacterium Escherichia coli. Nature 2004, 427, 839-843.
30. Boss, M.; Elsinger, H.; Summer, M.; Thurner, S. Network topology of the interbank market. Quant. Financ. 2004, 4, 677-684.
31. Li, C.; Chen, G. Network connection strengths: Another power-law? Cond. Mat. 2003, arXiv preprint cond-mat/0311333.
32. Kim, H.-J.; Lee, Y.; Kahng, B.; Kim, I.-M. Weighted scale-free network in financial correlations. J. Phys. Soc. Jpn. 2002, 71, 2133-2136.
33. Burda, Z.; Jurkiewicz, J.; Nowak, M.A.; Papp, G.; Zahed, I. Levy matrices and financial covariances. Acta Phys. Polonica B 2003, 34, 4747-4763.
34. Onnela, J.-P.; Kaski, K.; Kertesz, J. Clustering and information in correlation based financial networks. Eur. Phys. J. B 2004, 38, 353-362.
35. Garlaschelli, D.; Caldarelli, G.; Pietronero, L. Universal scaling relations in food webs. Nature 2003, 423, 165-168.