IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v321y2003i3p381-397.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102017399
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(02)01739-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhao, Star X. & Rousseau, Ronald & Ye, Fred Y., 2011. "h-Degree as a basic measure in weighted networks," Journal of Informetrics, Elsevier, vol. 5(4), pages 668-677.
    2. Ruiz Vargas, E. & Mitchell, D.G.V. & Greening, S.G. & Wahl, L.M., 2014. "Topology of whole-brain functional MRI networks: Improving the truncated scale-free model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 151-158.
    3. Giacomello, Giampiero & Picci, Lucio, 2003. "My scale or your meter? Evaluating methods of measuring the Internet," Information Economics and Policy, Elsevier, vol. 15(3), pages 363-383, September.
    4. Ormerod, Paul & Roach, Andrew P, 2004. "The Medieval inquisition: scale-free networks and the suppression of heresy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 645-652.
    5. Castagna, Alina & Chentouf, Leila & Ernst, Ekkehard, 2017. "Economic vulnerabilities in Italy: A network analysis using similarities in sectoral employment," GLO Discussion Paper Series 50, Global Labor Organization (GLO).
    6. Pascal Billand & Christophe Bravard & Sudipta Sarangi, 2011. "Resources Flows Asymmetries in Strict Nash Networks with Partner Heterogeneity," Working Papers 1108, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    7. Stefan Rass, 2021. "Judging the quality of (fake) news on the internet," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 20(1), pages 129-133, June.
    8. Pandey, Pradumn Kumar & Badarla, Venkataramana, 2018. "Reconstruction of network topology using status-time-series data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 573-583.
    9. Georgios Antonios Sarantitis & Theophilos Papadimitriou & Periklis Gogas, 2018. "A Network Analysis of the United Kingdom’s Consumer Price Index," Computational Economics, Springer;Society for Computational Economics, vol. 51(2), pages 173-193, February.
    10. Marc Barthélémy & Michele Campagna & Alessandro Chessa & Andrea De Montis & Alessandro Vespignani, 2005. "Emergent topological and dynamical properties of a real inter-municipal commuting network - perspectives for policy-making and planning," ERSA conference papers ersa05p607, European Regional Science Association.
    11. Gathy, Maude & Lefèvre, Claude, 2010. "On the Lagrangian Katz family of distributions as a claim frequency model," Insurance: Mathematics and Economics, Elsevier, vol. 47(1), pages 76-83, August.
    12. Ambagaspitiya, Rohana S., 1998. "Compound bivariate Lagrangian Poisson distributions," Insurance: Mathematics and Economics, Elsevier, vol. 23(1), pages 21-31, October.
    13. Zio, Enrico, 2016. "Challenges in the vulnerability and risk analysis of critical infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 137-150.
    14. Tamás Sebestyén & Dóra Longauer, 2018. "Network structure, equilibrium and dynamics in a monopolistically competitive economy," Netnomics, Springer, vol. 19(3), pages 131-157, December.
    15. Wang, Huan & Xu, Chuan-Yun & Hu, Jing-Bo & Cao, Ke-Fei, 2014. "A complex network analysis of hypertension-related genes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 166-176.
    16. Elisa Letizia & Fabrizio Lillo, 2017. "Corporate payments networks and credit risk rating," Papers 1711.07677, arXiv.org, revised Sep 2018.
    17. Hema Yoganarasimhan, 2012. "Impact of social network structure on content propagation: A study using YouTube data," Quantitative Marketing and Economics (QME), Springer, vol. 10(1), pages 111-150, March.
    18. Dunia López-Pintado, 2006. "Contagion and coordination in random networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 371-381, October.
    19. Morehead, Raymond & Noore, Afzel, 2007. "Novel hybrid mitigation strategy for improving the resiliency of hierarchical networks subjected to attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 603-612.
    20. A. Sharif & S. Csörgö & S. Takenaka & D. Dacunha-Castelle & H. Basler, 1996. "Book-reviews," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 43(1), pages 91-100, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:381-397. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.