Abstract
We show that considering only 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 , close to that of watersheds.
- Received 14 May 2010
DOI:https://doi.org/10.1103/PhysRevLett.105.035701
©2010 American Physical Society