%0 Journal Article %1 WOS:000279888400004 %A Araujo, N A M %A Herrmann, H J %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2010 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW LETTERS %K imported %N 3 %R 10.1103/PhysRevLett.105.035701 %T Explosive Percolation via Control of the Largest Cluster %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{WOS:000279888400004, 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 = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Araujo, N A M and Herrmann, H J}, biburl = {https://www.bibsonomy.org/bibtex/2938939519b97d9b69e359c046b830247/ppgfis_ufc_br}, doi = {10.1103/PhysRevLett.105.035701}, interhash = {0d8a75672c23af5831decc41deb0bd27}, intrahash = {938939519b97d9b69e359c046b830247}, issn = {0031-9007}, journal = {PHYSICAL REVIEW LETTERS}, keywords = {imported}, number = 3, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Explosive Percolation via Control of the Largest Cluster}, tppubtype = {article}, volume = 105, year = 2010 }