Generalized percolation in random directed networks

Details Generalized percolation in random directed networks Generalized percolation in random directed networks

2005-01-21

arxiv.org/abs/cond-mat/0501533v1

Physical Review E 72, 016106 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.72.016106

We develop a general theory for percolation in directed random networks with arbitrary two point correlations and bidirectional edges, that is, edges pointing in both directions simultaneously. These two ingredients alter the previously known scenario and open new views and perspectives on percolation phenomena. Equations for the percolation threshold and the sizes of the giant components are derived in the most general case. We also present simulation results for a particular example of uncorrelated network with bidirectional edges confirming the theoretical predictions.

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