Document Type

Journal Article

Role

Author

Standard Number

0031-9007

Journal Title

Physical Review Letters

Volume

103

First Page

255701

Publication Date

2009

Abstract

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.

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