Evolution of Networks

Papers on networks:

49. Transition from small to large world in growing networks, S. N. Dorogovtsev, P. L. Krapivsky, and J. F. F. Mendes, EPL 81, 30004 1-5 (2008); arXiv:0709.3094 [cond-mat].
48. Laplacian spectra of complex networks and random walks on them: Are scale-free architectures really important?, A. N. Samukhin, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E , (2008); arXiv:0706.1176 [cond-mat].
47. Critical phenomena in complex networks, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. , (2008); arXiv:0705.0010 [cond-mat].
46. BKT-like transition in the Potts model on an inhomogeneous annealed network, E. Khajeh, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E 75, 041112 1-6 (2007); cond-mat/0701156.
45. k-core architecture and k-core percolation on complex networks, A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Physica D 224, 7-19 (2006).
44. k-core (bootstrap) percolation on complex networks: Critical phenomena and nonlocal effects, A. V. Goltsev, S. N. Dorogovtsev, and J. F. F. Mendes, Phys. Rev. E 73, 056101 1-10 (2006); cond-mat/0602611.
43. k-core percolation and k-core organization of complex networks, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. Lett. 96, 040601 1-4 (2006); cond-mat/0509102.
42. Correlations in interacting systems with a network topology, S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E 72, 066130 1-4 (2005); cond-mat/0506002.
41. Organization of complex networks without multiple connections, S. N. Dorogovtsev, J. F. F. Mendes, A. M. Povolotsky, and A. N. Samukhin, Phys. Rev. Lett. 95, 195701 1-4 (2005); cond-mat/0505193.
40. Frequency of occurrence of numbers in the World Wide Web, S. N. Dorogovtsev, J. F. F. Mendes, and J. G. Oliveira, Physica A 360, 548-556 (2006); physics/0504185.
39. Phase transition with the Berezinskii--Kosterlitz--Thouless singularity in the Ising model on a growing network, M. Bauer, S. Coulomb, and S. N. Dorogovtsev, Phys. Rev. Lett. 94, 200602 1-4 (2005); cond-mat/0501596; Erratum: Phys. Rev. Lett. 96, 109901(E) (2006).
38. Degree-dependent intervertex separation in complex networks, S. N. Dorogovtsev, J. F. F. Mendes, and J. G. Oliveira, cond-mat/0411526.
37. Minimal models of weighted scale-free networks, S. N. Dorogovtsev and J. F. F. Mendes, cond-mat/0408343.
36. Preferential compactness of networks, M. J. Alava and S. N. Dorogovtsev, cond-mat/0407643.
35. Complex networks created by aggregation, M. J. Alava and S. N. Dorogovtsev, Phys. Rev. E 71, 036107 1-11 (2005); cond-mat/0406607.
34. The shortest path to complex networks, S. N. Dorogovtsev and J. F. F. Mendes, a contribution to Complex Systems and Inter-disciplinary Science, v.1, eds. N. Johnson, J. Efstathiou, and F. Reed-Tsochas (World Scientific, 2005) cond-mat/0404593.
33. Random networks: eigenvalue spectra, S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes, and A. N. Samukhin, Physica A 338, 76-83 (2004).
32. Spectral analysis of random networks, S.N. Dorogovtsev, A.V. Goltsev, J.F.F. Mendes, and A.N. Samukhin, Lecture Notes in Physics 650, 35-52 (2004).
31. Self-organization of collaboration networks, J.J. Ramasco, S.N. Dorogovtsev, and R. Pastor-Satorras, Phys. Rev. E 70, 036106 (2004); cond-mat/0403438.
30. Potts model on complex networks, S.N. Dorogovtsev, A.V. Goltsev, and J.F.F. Mendes, Eur. Phys. J. B 38, 177-182 (2004); cond-mat/0310693.
29. Clustering of correlated networks, S.N. Dorogovtsev, Phys. Rev. E 69, 027104 1-4 (2004); cond-mat/0308444.
28. Networks with desired correlations, S.N. Dorogovtsev, cond-mat/0308336.
27. Spectra of complex networks, S.N. Dorogovtsev, A.V. Goltsev, J.F.F. Mendes, and A.N. Samukhin, Phys. Rev. E 68, 046109 1-10 (2003); cond-mat/0306340.
26. Renormalization group for evolving networks, S.N. Dorogovtsev, Phys. Rev. E 67, 045102 1-4 (2003) (R); cond-mat/0301008.
25. Mesoscopics and fluctuations in networks, S.N. Dorogovtsev and A.N. Samukhin, Phys. Rev. E 67, 037103 1-4 (2003); cond-mat/0211518.
24. Metric structure of random networks, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Nucl. Phys. B 653, 307-338 (2003); cond-mat/0210085.
23. Modern architecture of random graphs: Constructions and correlations, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, cond-mat/0206467.
22. How to generate a random growing network, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, cond-mat/0206132.
21. How to construct a correlated net, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, cond-mat/0206131.
20. Critical phenomena in networks, A.V. Goltsev, S.N. Dorogovtsev, and J.F.F. Mendes, Phys. Rev. E 67, 026123 1-5 (2003); cond-mat/0204596.
19. Principles of statistical mechanics of random networks, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Nucl. Phys. B 666, 396-416 (2003); cond-mat/0204111.
18. Accelerated growth of networks, S.N. Dorogovtsev and J.F.F. Mendes, a contribution to Handbook of Graphs and Networks: From the Genome to the Internet, eds. S. Bornholdt and H.G. Schuster (Wiley-VCH, Berlin, 2002), 318-341; cond-mat/0204102.
17. Ising model on networks with an arbitrary distribution of connections, S.N. Dorogovtsev, A.V. Goltsev, and J.F.F. Mendes, Phys. Rev. E 66, 016104 1-5 (2002); cond-mat/0203227.
16. Pseudofractal scale-free web, S.N. Dorogovtsev, A.V. Goltsev, and J.F.F. Mendes, Phys. Rev. E 65, 066122 1-4 (2002); cond-mat/0112143.
15. Comment on "Breakdown of the Internet under intentional attack", S.N. Dorogovtsev and J.F.F. Mendes, Phys. Rev. Lett. 87, 219801 (2001); cond-mat/0109083.
14. Evolution of networks, S.N. Dorogovtsev and J.F.F. Mendes, Adv. Phys. 51, 1079-1187 (2002); cond-mat/0106144.
13. Multifractal properties of growing networks, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Europhys. Lett. 57, 334-340 (2002); cond-mat/0106142.
12. Anomalous percolation properties of growing networks, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Phys. Rev. E 64, 066110 1-11 (2001); cond-mat/0106141.
11. Language as an evolving Word Web, S.N. Dorogovtsev and J.F.F. Mendes, Proc. Royal Soc. London B (Biology) 268, 2603-2606 (2001); cond-mat/0105093.
10. Giant strongly connected component of directed networks, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Phys. Rev. E 64, 025101 (R) 1-4 (2001); cond-mat/0103629.
9. Scaling properties of scale-free evolving networks: Continuous approach, S.N. Dorogovtsev, and J.F.F. Mendes, Phys. Rev. E 63, 056125 1-19 (2001); cond-mat/0012009.
8. Generic scale of the "scale-free" growing networks, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Phys. Rev. E 63, 062101 1-4 (2001); cond-mat/0011115.
7. Growing network with heritable connectivity of nodes, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, cond-mat/0011077.
6. WWW and Internet models from 1955 till our days and the ``popularity is attractive'' principle, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, cond-mat/0009090.
5. Effect of the accelerated growth of communications networks on their structure, S.N. Dorogovtsev and J.F.F. Mendes, Phys. Rev. E 63, 025101 1-4 (2001) (R); cond-mat/0009065.
4. Scaling behaviour of developing and decaying networks, S.N. Dorogovtsev and J.F.F. Mendes, Europhys. Lett. 52, 33-39 (2000); cond-mat/0005050.
3. Structure of growing networks: Exact solution of the Barabasi-Albert model, S.N. Dorogovtsev, J.F.F. Mendes, and A.N. Samukhin, Phys. Rev. Lett. 85, 4633-4636 (2000); cond-mat/0004434.
2. Evolution of reference networks with aging, S.N. Dorogovtsev and J.F.F. Mendes, Phys. Rev. E 62, 1842-1845 (2000); cond-mat/0001419.
1. Exactly solvable small-world network, S.N. Dorogovtsev and J.F.F. Mendes, Europhys. Lett. 50, 1-7 (2000); cond-mat/9907445.

A few of old papers:

16. Evolution of a sandpile in a thick flow regime, S.N. Dorogovtsev and J.F.F. Mendes, Phys. Rev. E 61, 2909-2919 (2000); cond-mat/9909247.
15. How sandpiles spill: Sandpile problem in a thick flow regime, S.N. Dorogovtsev and J.F.F. Mendes, Phys. Rev. Lett. 83, 2946-2949 (1999); cond-mat/9905052.
14. Avalanche mixing of granular solids, S.N. Dorogovtsev, Europhys. Lett. 41, 25-30 (1998); cond-mat/9711228.
13. Exact solutions in the problem of nonlinear nonlocal diffusion of the magnetic flux in type-II superconductor films, S.N. Dorogovtsev, JETP Lett. 61, 491-495 (1995); cond-mat/9807165.
12. Space-time image of the magnetic flux penetrating into type-II superconductors in an applied oscillating magnetic field, V.V. Bryksin and S.N. Dorogovtsev, Physica C 215, 173-180 (1993).
11. Acoustical properties of disordered ferroelectrics, S.N. Dorogovtsev and N.K. Yushin, Ferroelectrics 112, 27-44 (1990).
10. Nonergodicity in a ferroelectric with smeared phase transition, N.K. Yushin, S.N. Dorogovtsev, and S.I. Smirnov, Pis'ma v ZhTF 14, 125-129 (1988).
9. Gyrotropic percolation, S.N. Dorogovtsev, Sov. Phys. Solid State 28, 1699-1702 (1986); cond-mat/9712042.
8. The critical behavior of systems with correlated defects, S.N. Dorogovtsev, J. Phys. A17, L677-L679 (1984).
7. Phase transition in a magnet with one-component order parameter and linear and point defects, S.N. Dorogovtsev, Sov. Phys. Solid State 25, 1994 (1983).
6. Dynamical critical exponent of the magnet with linear defects, S.N. Dorogovtsev, Sov. Phys. Solid State 23, 1050-1051 (1981).
5. Critical properties of magnets with dislocations and point defects, S.N. Dorogovtsev, Sov. Phys. JETP 53, 1070-1077 (1981).
4. Influence of impurities on phase transition in the 3-component Potts model, S.N. Dorogovtsev, Sov. Phys. Solid State 23, 664-666 (1981).
3. Critical properties of systems with extended defects: Anisotropy of critical exponents, S.N. Dorogovtsev, Sov. Phys. Solid State 22, 2141-2144 (1980).
2. Critical exponents of magnets with lengthy defects, S.N. Dorogovtsev, Phys. Lett. 76A, 169-170 (1980).
1. Phase transition in a system with extended defects, S.N. Dorogovtsev, Sov. Phys. Solid State 22, 188-192 (1980).