Volume 60, Number 1, October 2002
|Page(s)||14 - 20|
|Published online||01 September 2002|
Dynamic scaling and universality in evolution of fluctuating random networks
Institute of Physics, Academy of Sciences
of the Czech Republic Na Slovance 2,
182 21 Prague 8, Czech Republic
2 Charles University at Prague, Department of Theoretical Physics V Holešovičkách 2, 180 00 Prague 8, Czech Republic
Corresponding author: email@example.com
Accepted: 1 July 2002
We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growing surfaces. It is demonstrated by numerical simulations of two variants of the model in which nodes are added as well as removed (Phys. Rev. Lett., 83 (1999) 5587). The averaged size and connectivity of the network increase as power laws in early times but later saturate. Saturated values and times of saturation change with paramaters controlling the local evolution of the network topology. Both saturated values and times of saturation obey also power law dependences on controlling parameters. Scaling exponents are calculated and universal features are discussed.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 89.75.Fb – Structures and organization in complex systems / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics
© EDP Sciences, 2002
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