Explosive percolation is continuous.

Author: 

Riordan, O
Warnke, L

Publication Date: 

15 July 2011

Journal: 

Science

Last Updated: 

2020-01-19T20:06:35.4+00:00

Issue: 

6040

Volume: 

333

DOI: 

10.1126/science.1206241

page: 

322-324

abstract: 

"Explosive percolation" is said to occur in an evolving network when a macroscopic connected component emerges in a number of steps that is much smaller than the system size. Recent predictions based on simulations suggested that certain Achlioptas processes (much-studied local modifications of the classical mean-field growth model of Erdős and Rényi) exhibit this phenomenon, undergoing a phase transition that is discontinuous in the scaling limit. We show that, in fact, all Achlioptas processes have continuous phase transitions, although related models in which the number of nodes sampled may grow with the network size can indeed exhibit explosive percolation.

Symplectic id: 

166488

Download URL: 

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article