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Physical Review E
We analytically determine when a range of abstract social contagion models permit global spreading from a single seed on degree-correlated random networks. We deduce the expected size of the largest vulnerable component, a network's tinderbox-like critical mass, as well as the probability that infecting a randomly chosen individual seed will trigger global spreading. In the appropriate limits, our results naturally reduce to standard ones for models of disease spreading and to the condition fordoi:10.1103/physreve.79.066115 pmid:19658572 fatcat:xtd25rxckrdcvmejo5xpszikr4