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Directed cycles and related structures in random graphs: II—Dynamic properties

Author

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  • Barbosa, Valmir C.
  • Donangelo, Raul
  • Souza, Sergio R.

Abstract

We study directed random graphs (random graphs whose edges are directed) as they evolve in discrete time by the addition of nodes and edges. For two distinct evolution strategies, one that forces the graph to a condition of near acyclicity at all times and another that allows the appearance of nontrivial directed cycles, we provide analytic and simulation results related to the distributions of degrees. Within the latter strategy, in particular, we investigate the appearance and behavior of the strong components that were our subject in the first part of this study.

Suggested Citation

  • Barbosa, Valmir C. & Donangelo, Raul & Souza, Sergio R., 2004. "Directed cycles and related structures in random graphs: II—Dynamic properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(3), pages 566-582.
    • Handle: RePEc:eee:phsmap:v:334:y:2004:i:3:p:566-582
    DOI: 10.1016/j.physa.2003.11.010
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    References listed on IDEAS

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    1. Barbosa, Valmir C & Donangelo, Raul & Souza, Sergio R, 2003. "Directed cycles and related structures in random graphs: I—Static properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 381-397.
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    Cited by:

    1. Barbosa, Valmir C., 2008. "Reachability and recoverability of sink nodes in growing acyclic directed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 685-693.

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    1. Barbosa, Valmir C., 2008. "Reachability and recoverability of sink nodes in growing acyclic directed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 685-693.

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