Explosive Percolation Via Control of the Largest Cluster

We disclose that only considering the largest cluster suffices to obtain a first-order percolation transition. As opposed to previous realizations of explosive percolation our novel models obtain Gaussian cluster distributions and compact clusters as one would expect at first-order transitions. We also discover that, surprisingly, the cluster perimeters are fractal at the transition point yielding a fractal dimension of 1.23±0.03 intriguingly close to that of watersheds

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Year of publication:	2010
Authors:	Herrmann, Hans J.
Other Persons:	Araujo, Nuno A.M. (contributor)
Publisher:	[2010]: [S.l.] : SSRN
Subject:	Regionales Cluster \| Regional cluster \| Theorie \| Theory \| Clusteranalyse \| Cluster analysis \| Großunternehmen \| Large firm

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