Robustness of networks against viruses: the role of the spectral radius

Conference paper (2006)

Authors

A Jamakovic International Research Centre for Telecommunication and Radar

Robert Kooij International Research Centre for Telecommunication and Radar

P.F.A. Van Mieghem Network Architectures and Services -

ER van Dam External organisation

Research Group

International Research Centre for Telecommunication and Radar

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Published Date

2006

Language

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Research Group

International Research Centre for Telecommunication and Radar

Abstract

In this paper we study the spectral radius of a number of real-life networks. This study is motivated by the fact that the smaller the spectral radius, the hight the robustness of a network agianst the spread of viruses. First we study how well-known upper bounds for the spectral radius of graphs match to the spectral radii of the social network of the Dutch soccer team, the Dutch roadmap network, the network of the observable part of the Internet graph at the IP-level and teh Autonomous System level. Secondly, we compare the spectral radius for these real-life networks with those of commonly used complex network models.