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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title Dynamic scaling and universality in evolution of fluctuating random networks
Organization Unit
Authors
  • M Kotrla
  • F Slanina
  • Jakub Steiner
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title EPL (Europhysics Letters)
Publisher EDP Sciences
Geographical Reach international
ISSN 0295-5075
Volume 60
Number 1
Page Range 14 - 20
Date 2002
Abstract Text 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.
Digital Object Identifier 10.1209/epl/i2002-00311-6
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