%0 Journal Article %1 Friedman2009Construction %A Friedman, Eric J. %A Landsberg, Adam S. %D 2009 %I American Physical Society %J Physical Review Letters %K explosive\_percolation er-networks %N 25 %P 255701+ %R 10.1103/physrevlett.103.255701 %T Construction and Analysis of Random Networks with Explosive Percolation %U http://dx.doi.org/10.1103/physrevlett.103.255701 %V 103 %X The existence of explosive phase transitions in random (Erdös Rényi-type) networks has been recently documented by Achlioptas, D'Souza, and Spencer Science 323, 1453 (2009) via simulations. In this Letter we describe the underlying mechanism behind these first-order phase transitions and develop tools that allow us to identify (and predict) when a random network will exhibit an explosive transition. Several interesting new models displaying explosive transitions are also presented.

@article{Friedman2009Construction, abstract = {{The existence of explosive phase transitions in random (Erd\"{o}s R\'{e}nyi-type) networks has been recently documented by Achlioptas, D'Souza, and Spencer [Science 323, 1453 (2009)] via simulations. In this Letter we describe the underlying mechanism behind these first-order phase transitions and develop tools that allow us to identify (and predict) when a random network will exhibit an explosive transition. Several interesting new models displaying explosive transitions are also presented.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Friedman, Eric J. and Landsberg, Adam S.}, biburl = {https://www.bibsonomy.org/bibtex/20d31b337e7cde1a6a03e1758388f734a/nonancourt}, citeulike-article-id = {6457678}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000103000025255701000001\&idtype=cvips\&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v103/e255701}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevlett.103.255701}, citeulike-linkout-3 = {http://link.aps.org/abstract/PRL/v103/i25/e255701}, citeulike-linkout-4 = {http://link.aps.org/pdf/PRL/v103/i25/e255701}, day = 18, doi = {10.1103/physrevlett.103.255701}, interhash = {827efabea176a65d037000676e07ba4c}, intrahash = {0d31b337e7cde1a6a03e1758388f734a}, issn = {0031-9007}, journal = {Physical Review Letters}, keywords = {explosive\_percolation er-networks}, month = dec, number = 25, pages = {255701+}, posted-at = {2010-01-20 16:02:55}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T16:10:11.000+0200}, title = {{Construction and Analysis of Random Networks with Explosive Percolation}}, url = {http://dx.doi.org/10.1103/physrevlett.103.255701}, volume = 103, year = 2009 }