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Matrix representation of evolving networks

Krzysztof Malarz ,  Krzysztof Kułakowski 

AGH University of Science and Technology, Faculty of Physics and Applied Computer Science (AGH), Mickiewicza 30, Kraków 30-059, Poland

Abstract

In recent ten years, much attention has been paid to the problem of evolving networks - a new area with many interdisciplinary applications in social- and econo- science among others. Rapid progress in computer abilities allows today to simulate networks of actors and agents with their complex behaviour.

In the paper we present the connectivity and distance matrix evolution for different types of networks: exponential, scale-free and random ones. Statistical and spectral properties of these matrices are included as well as topological features of the networks.

 

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Related papers

Presentation: oral at Symposium on Econo- and Sociophysics 2004, by Krzysztof Malarz
See On-line Journal of Symposium on Econo- and Sociophysics 2004

Submitted: 2004-10-13 17:25
Revised:   2009-06-08 12:55