Explosive percolation via control of the largest cluster
Araújo, N. A. M. · Herrmann, H. J.
Original · EN
We show that only considering the largest cluster suffices to obtain a first-order percolation transition. As opposed to previous realizations of explosive percolation our models obtain Gaussian cluster distributions and compact clusters as one would expect at first-order transitions. We also discover that the cluster perimeters are fractal at the transition point, yielding a fractal dimension of 1.23±0.03, close to that of watersheds.
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