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Phys. Rev. E 79, 056112 (2009) [8 pages]

Topological transition in dynamic complex networks

Abstract
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Nobuharu Kami1,2,* and Hideo Ikeda1,3,†
1Department of Electrical Engineering, Stanford University, Stanford, California 94305–9510, USA
2System Platforms Research Laboratories, NEC Corporation, Kawasaki 211–8666, Japan
3Production Systems Research Laboratory, Kobe Steel, Ltd., Kobe 651–2271, Japan

Received 10 September 2008; revised 6 March 2009; published 22 May 2009

Using a network model involving statistical mechanics we study the topological transition of complex networks with evolving wiring structure. The evolution rule of our network model contains both a structuring effect originated in a wiring decision metric (local clustering coefficient) and a randomizing effect due to thermal fluctuation. Monte Carlo simulation results show a dramatic topological transition between nonclustered networks and clustered networks in response to changes in the degree of randomness.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.056112
DOI:
10.1103/PhysRevE.79.056112
PACS:
89.75.Fb, 64.60.De, 64.60.Cn, 64.60.aq

*n-kami@ak.jp.nec.com

ikeda.hideo@kobelco.com