Cluster growth in a growing tree network

Lancaster, D.J. 2001. Cluster growth in a growing tree network. ARXIV.

TitleCluster growth in a growing tree network
AuthorsLancaster, D.J.
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.

JournalARXIV
Year2001
Web address (URL)http://arxiv.org/abs/cond-mat/0110111
Publication dates
Published2001

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