Topological phase transition in a network model with preferential attachment and node removal
Statistical Mechanics
2012-01-20 v1 Social and Information Networks
Physics and Society
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.
Cite
@article{arxiv.1201.4044,
title = {Topological phase transition in a network model with preferential attachment and node removal},
author = {Heiko Bauke and Cristopher Moore and Jean-Baptiste Rouquier and David Sherrington},
journal= {arXiv preprint arXiv:1201.4044},
year = {2012}
}
Comments
The final publication is available at http://www.epj.org