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Generalized percolation in random directed networks

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Boguñá, Marián, Serrano, M. Ángeles·2005·Physical Review E

Abstract

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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Metadata

Authors
Boguñá, M., & Serrano, M. Á.
Venue
Physical Review E
Published
2005-07-07
Volume
72
Issue
1
Pages
016106-016106
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
OpenAlex
W2151700392
Cited by
161
References
1
FWCI
4.51
Type
journal article
Language
en
Open access
hybrid

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CoChat. (2026). Citation check: Generalized percolation in random directed networks. https://app.cochat.ai/papers/10.1103/physreve.72.016106
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Boguñá, M., & Serrano, M. Á. (2005). Generalized percolation in random directed networks. Physical Review E. https://doi.org/10.1103/physreve.72.016106

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