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Cluster growth in a growing tree network

Lancaster, David J. (2001) Cluster growth in a growing tree network. ARXIV .

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Official URL: http://arxiv.org/abs/cond-mat/0110111

Abstract

We analyze a simple model for growing tree networks and find that although it never percolates, there is an anomalously large cluster at finite size. We study the growth of both the maximal cluster and the cluster containing the original vertex and find that they obey power laws. This property is also observed through simulations in a non-linear model with loops and a true percolating phase.

Item Type:Article
Research Community:University of Westminster > Electronics and Computer Science, School of
ID Code:1487
Deposited On:08 May 2006
Last Modified:19 Oct 2009 15:04

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