A simple person's approach to understanding the contagion condition for spreading processes on generalized random networks
P. S. Dodds
Complex Spreading Phenomena in Social Systems, 2018
Times cited: 5
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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BibTeX:
@InCollection{dodds2018a,
author = {Dodds, Peter Sheridan},
title = {A simple person's approach to understanding the
contagion condition for spreading processes on
generalized random networks},
booktitle = {Complex Spreading Phenomena in Social Systems},
key = {contagion,spreading,statistical mechanics,networks},
publisher = {Springer, Cham},
year = {2017},
editor = {Lehmann, Sune and Ahn, Yong-Yeol},
}