Cluster growth in two growing network models

Lancaster, D.J. 2002. Cluster growth in two growing network models. Journal of Physics A: Mathematical and General. 35 (5), pp. 1179-1194.

TitleCluster growth in two growing network models
AuthorsLancaster, D.J.
Abstract

We analyse 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 nonlinear model with loops and a true percolating phase.

JournalJournal of Physics A: Mathematical and General
Journal citation35 (5), pp. 1179-1194
ISSN0305-4470
YearFeb 2002
Digital Object Identifier (DOI)doi:10.1088/0305-4470/35/5/305
Publication dates
PublishedFeb 2002

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