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Topological phase transition in a network model with preferential attachment and node removal (1201.4044v1)
Published 19 Jan 2012 in cond-mat.stat-mech, cs.SI, and physics.soc-ph
Abstract: Preferential attachment is a popular model of growing networks. We consider a generalized model with random node removal, and a combination of preferential and random attachment. Using a high-degree expansion of the master equation, we identify a topological phase transition depending on the rate of node removal and the relative strength of preferential vs. random attachment, where the degree distribution goes from a power law to one with an exponential tail.