Statistical mechanics of multiedge networks

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

Volumn 88, Issue 6, 2013, Pages

  Sagarra, O ^a   Perez Vicente C J ^a   Diaz Guilera A ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

AS GRAPH; BINARY PROJECTIONS; COLLECTIVE BEHAVIOR; NETWORK STATISTICS; NON-LINEAR CONSTRAINTS; STATISTICAL PROPERTIES;

CONDENSED MATTER PHYSICS; PHYSICS;

STATISTICAL MECHANICS;

EID: 84890444959     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.062806     Document Type: Article

References (40)

1. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 10.1103/RevModPhys. 74.47 74, 47 (2002).
2. M. E. J. Newman, Networks: An Introduction (Oxford University Press, Oxford, 2010), p. 720.
3. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003).
4. J. Park and M. E. J. Newman, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.066117 70, 066117 (2004).
5. D. Garlaschelli and M. Loffredo, Phys. Rev. Lett. 10.1103/PhysRevLett. 102.038701 102, 038701 (2009).
6. G. Krings, F. Calabrese, C. Ratti, and V. D. Blondel, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2009/07/L07003 (2009) L07003.
7. M. Barthélemy, Phys. Rep. 10.1016/j.physrep.2010.11.002 499, 1 (2011).
8. P. Kaluza, A. Kölzsch, M. T. Gastner, and B. Blasius, J. R. Soc. Interface R. Soc. 1742-5689 10.1098/rsif.2009.0495 7, 1093 (2010).
9. C. Roth, S. M. Kang, M. Batty, and M. Barthélemy, PLoS One 1932-6203 10.1371/journal.pone.0015923 6, e15923 (2011).
10. A. G. Wilson, Transportation Research 10.1016/0041-1647(67)90035-4 1, 253 (1967).
11. A. Annibale, A. C. C. Coolen, L. P. Fernandes, F. Fraternali, and J. Kleinjung, J. Phys. A. Math. Gen. 1751-8113 10.1088/1751-8113/42/48/485001 42, 485001 (2009).
12. S. E. Ahnert, D. Garlaschelli, T. M. A. Fink, and G. Caldarelli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.016101 76, 016101 (2007).
13. F. Simini, M. C. González, A. Maritan, and A.-L. Barabási, Nature (London) NATUAS 0028-0836 10.1038/nature10856 484, 96 (2012).
14. P. Expert, T. S. Evans, V. D. Blondel, and R. Lambiotte, Proc. Natl. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.1018962108 108, 7663 (2011).
15. P. Holme and J. Saramäki, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2012.03.001 519, 97 (2012).
16. D. Garlaschelli and M. I. Loffredo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.015101 78, 015101 (R) (2008).
17. A. Wilson, Geogr. Anal. 0016-7363 10.1111/j.1538-4632.2010.00799.x 42, 364 (2010).
18. M. Barthélemy, A. Barrat, R. Pastor-Satorras, and A. Vespignani, Physica A 10.1016/j.physa.2004.08.047 346, 34 (2005).
19. G. Bianconi, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/81/28005 81, 28005 (2008).
20. B. M. Waxman, Sel. Areas Commun. IEEE J. ISACEM 0733-8716 10.1109/49.12889 6, 1617 (1988).
21. A. Bazzani, B. Giorgini, S. Rambaldi, R. Gallotti, and L. Giovannini, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2010/05/P05001 (2010) P05001.
22. X. Liang, X. Zheng, W. Lv, T. Zhu, and K. Xu, Physica A PHYADX 0378-4371 10.1016/j.physa.2011.11.035 391, 2135 (2012).
23. M. A. Serrano and M. Boguna, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1985381 776, 101 (2005).
24. M. A. Serrano, M. Boguna, and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.055101 74, 055101 (2006).
25. T. Squartini and D. Garlaschelli, New J. Phys. 10.1088/1367-2630/13/8/ 083001 13, 083001 (2011).
26. S. Erlander and N. F. Stewart, The Gravity Model in Transportation Analysis: Theory and Extensions (CRC Press, Boca Raton, 1990).
27. S. Goh, K. Lee, J. S. Park, and M. Y. Choi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.026102 86, 026102 (2012).
28. J. Park and M. E. J. Newman, Phys. Rev. E 10.1103/PhysRevE.70.066117 70, 066117 (2004).
29. D. Lambert, Technometrics TCMTA2 0040-1706 10.2307/1269547 34, 1 (1992).
30. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, Advances in Computational Mathematics (Springer, New York, 1996), pp. 329-359.
31. G. Bianconi, A. C. C. Coolen, and C. J. Perez Vicente, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.016114 78, 016114 (2008).
32. P. Erdos and A. Rényi, Publications of the Mathematical Institute of the Hungarian Academy of Sciences (Hungarian Academy of Sciences, Budapest, 1960), pp. 17-61.
33. A. Barrat, M. Barthélemy, R. Pastor-Satorras, and A. Vespignani, Proc. Natl. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.0400087101 101, 3747 (2004).
34. M. Boguñá and R. Pastor-Satorras, Phys. Rev. E 1063-651X 10.1103/PhysRevE.68.036112 68, 036112 (2003).
35. K. Anand, G. Bianconi, and S. Severini, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.036109 83, 036109 (2011).
36. Z. Burda and A. Krzywicki, Phys. Rev. E 1063-651X 10.1103/PhysRevE.67. 046118 67, 046118 (2003).
37. G. Bianconi, P. Pin, and M. Marsili, Proc. Natl. Acad. Sci. PNASA6 0027-8424 10.1073/pnas.0811511106 106, 11433 (2009).
38. P. Colomer-de-Simon and M. Boguñá, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.86.026120 86, 026120 (2012).
39. G. Bianconi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.87.062806 87, 062806 (2013).
40. A. Solé-Ribalta, M. De Domenico, N. E. Kouvaris, A. Díaz-Guilera, S. Gómez, and A. Arenas, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.88.032807 88, 032807 (2013).