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Directed cycles and related structures in random graphs: I—Static properties

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

Abstract

We study directed random graphs (random graphs whose edges are directed), and present new results on the so-called strong components of those graphs. We provide analytic and simulation results on two special classes of strong component, called cycle components and knots, which are important in random networks that represent certain computational systems.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:381-397
    DOI: 10.1016/S0378-4371(02)01739-9
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    References listed on IDEAS

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    1. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 2000. "Scale-free characteristics of random networks: the topology of the world-wide web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 69-77.
    2. Goovaerts, M. J. & Kaas, R., 1991. "Evaluating Compound Generalized Poisson Distributions Recursively," ASTIN Bulletin, Cambridge University Press, vol. 21(2), pages 193-198, November.
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    1. 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.
    2. 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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