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      Statistical mechanics of complex networks

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      American Physical Society (APS)

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          Abstract

          Reviews of Modern Physics, 74(1), 47-97

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          Epidemic Spreading in Scale-Free Networks

          The Internet has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient for a communications network, favors at the same time the spreading of computer viruses. We analyze real data from computer virus infections and find the average lifetime and persistence of viral strains on the Internet. We define a dynamical model for the spreading of infections on scale-free networks, finding the absence of an epidemic threshold and its associated critical behavior. This new epidemiological framework rationalizes data of computer viruses and could help in the understanding of other spreading phenomena on communication and social networks.
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            A critical point for random graphs with a given degree sequence

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              Characteristic Vectors of Bordered Matrices With Infinite Dimensions

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                Author and article information

                Journal
                American Physical Society (APS)
                2002
                30 January 2002
                09 December 2017
                Article
                10.1103/REVMODPHYS.74.47
                da729c5c-c88d-406b-8828-a63c322c3c90

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