Topological phase transition in a network model with preferential attachment and node removal

Details Topological phase transition in a network model with preferential attachment and node removal Topological phase transition in a network model with preferential attachment and node removal

2012-01-19

arxiv.org/abs/1201.4044v1

European Physical Journal B, 83(4), 519-524. (2011)

Physics

Condensed Matter

Statistical Mechanics

The final publication is available at http://www.epj.org

Scientific paper

10.1140/epjb/e2011-20346-0

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.

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