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arXiv · 1201.4044

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

Heiko Bauke·Cristopher Moore·Jean-Baptiste Rouquier·David Sherrington
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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.

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Heiko Bauke, Cristopher Moore, Jean-Baptiste Rouquier, David Sherrington. 2012-01-19. Topological phase transition in a network model with preferential attachment and node removal. https://doi.org/10.1140/epjb/e2011-20346-0

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