%0 Journal Article %1 Araujo2010Explosive %A Araújo, N. A. M. %A Herrmann, H. J. %D 2010 %I American Physical Society %J Physical Review Letters %K clusters, explosive\_percolation critical-phenomena %N 3 %P 035701+ %R 10.1103/physrevlett.105.035701 %T Explosive Percolation via Control of the Largest Cluster %U http://dx.doi.org/10.1103/physrevlett.105.035701 %V 105 %X 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 1.23±0.03, close to that of watersheds.

@article{Araujo2010Explosive, 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 1.23±0.03, close to that of watersheds.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Ara\'{u}jo, N. A. M. and Herrmann, H. J.}, biburl = {https://www.bibsonomy.org/bibtex/2967101759357eeb8e087fab6191d0ad3/nonancourt}, citeulike-article-id = {8927853}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.105.035701}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v105/i3/e035701}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v105/i3/e035701}, doi = {10.1103/physrevlett.105.035701}, interhash = {0d8a75672c23af5831decc41deb0bd27}, intrahash = {967101759357eeb8e087fab6191d0ad3}, journal = {Physical Review Letters}, keywords = {clusters, explosive\_percolation critical-phenomena}, month = jul, number = 3, pages = {035701+}, posted-at = {2011-03-03 11:15:31}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-07-31T12:26:23.000+0200}, title = {{Explosive Percolation via Control of the Largest Cluster}}, url = {http://dx.doi.org/10.1103/physrevlett.105.035701}, volume = 105, year = 2010 }