Physical Review Letters
The existence of explosive phase transitions in random (Erdös Rényi-type) networks has been recently documented by Achlioptas, D’Souza, and Spencer 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.
Eric J. Friedman and Adam S. Landsberg . (2009). Construction and Analysis of Random Networks with Explosive Percolation. Physical Review Letters 103: 255701.