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Dynamic scaling and universality in evolution of fluctuating random networks


Kotrla, M; Slanina, F; Steiner, Jakub (2002). Dynamic scaling and universality in evolution of fluctuating random networks. EPL (Europhysics Letters), 60(1):14-20.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Economics
Dewey Decimal Classification:330 Economics
Scopus Subject Areas:Physical Sciences > General Physics and Astronomy
Language:English
Date:1 October 2002
Deposited On:24 Sep 2019 12:38
Last Modified:22 Sep 2023 01:46
Publisher:EDP Sciences
ISSN:0295-5075
OA Status:Closed
Publisher DOI:https://doi.org/10.1209/epl/i2002-00311-6