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A Simple Person’s Approach to Understanding the Contagion Condition for Spreading Processes on Generalized Random Networks

  • Peter Sheridan Dodds
Chapter
Part of the Computational Social Sciences book series (CSS)

Abstract

We present derivations of the contagion condition for a range of spreading mechanisms on families of generalized random networks and bipartite random networks. We show how the contagion condition can be broken into three elements, two structural in nature, and the third a meshing of the contagion process and the network. The contagion conditions we obtain reflect the spreading dynamics in a clear, interpretable way. For threshold contagion, we discuss results for all-to-all and random network versions of the model, and draw connections between them.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Vermont Complex Systems Center, Computational Story Lab, the Vermont Advanced Computing Core, Department of Mathematics & StatisticsThe University of VermontBurlingtonUSA

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