Effect of degree correlations on the loop structure of scale-free networks

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

Volumn 73, Issue 6, 2006, Pages

  Bianconi, Ginestra ^a   Marsili, Matteo ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; HAMILTONIANS; MODULAR CONSTRUCTION; REDUNDANCY; STATISTICS;

DEGREE CORRELATIONS; LOOP STRUCTURES; SCALE-FREE NETWORKS; SUBGRAPH STATISTICS;

CORRELATION METHODS;

EID: 33745580617     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.066127     Document Type: Article

References (21)

1. R. Albert and A.-L. Barabeási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
2. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks (Oxford University Press, Oxford, 2003).
3. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1103/RevModPhys.74.47 45, 167 (2003).
4. R. Pastor-Satorras and A. Vespignani, Evolution and Structure of the Internet (Cambridge University Press, Cambridge, U.K., 2004).
5. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
6. R. Milo, S. Shen-Orr, S. Itzkovitz, N. Kashtan, D. Chklovskii, and U. Alon, Science SCIEAS 0036-8075 10.1126/science.298.5594.824 298, 824 (2002).
7. A. Vazquez, R. Dobrin, D. Sergi, J.-P. Eckmann, Z. N. Oltvai, and A.-L. Barabási, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0406024101 101, 17940 (2004).
8. S. Janson, T. Luczak, and A. Rucinski, Random Graphs (John Wiley & Sons, New York, 2000).
9. G. Bianconi and A. Capocci, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.078701 90, 078701 (2003).
10. G. Bianconi and M. Marsili, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 P06 005 (2005).
11. J. Berg and M. Lassig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.228701 89, 228701 (2002).
12. R. Pastor-Satorras, A. Vazquez, and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.258701 87, 258701 (2001).
13. M. E. J. Newman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 89.208701 89, 208701 (2002).
14. E. Ravasz, A. L. Somera, D. A. Mongru, Z. N. Oltvai, and A.-L. Barabasi, Science SCIEAS 0036-8075 10.1126/science.1073374 297, 1551 (2002).
15. G. Bianconi, G. Caldarelli, and A. Capocci, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066116 71, 066116 (2005).
16. S. N. Soffer and A. Vazquez, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.057101 71, 057101 (2005).
17. E. Marinari, R. Monasson, and G. Semerjian, Europhys. Lett. EULEEJ 0295-5075 73, 8 (2006).
18. E. Marinari and R. Monasson, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 P09 004 (2004).
19. G Caldarelli, A. Capocci, P. De Los Rios, and M. A. Muñoz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.258702 89, 258702 (2002).
20. M. Boguña and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036112 68, 036112 (2003).
21. K.-I. Goh, B. Kahng, and D. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.278701 87, 278701 (2001).