IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i24p5036-5044.html
   My bibliography  Save this article

Hierarchy in the growing scale-free network with local rules

Author

Listed:
  • Náther, Peter
  • Markošová, Mária
  • Rudolf, Boris

Abstract

A new model of the clustering-driven growing network is presented and studied. Numerical and analytical results show that the pure clustering-driven addition of the certain pattern is not responsible for the resulting network hierarchy and scale-free structure. Introduction of local rules leads to the desired properties of the network, independently of the node attachment kernel.

Suggested Citation

  • Náther, Peter & Markošová, Mária & Rudolf, Boris, 2009. "Hierarchy in the growing scale-free network with local rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(24), pages 5036-5044.
  • Handle: RePEc:eee:phsmap:v:388:y:2009:i:24:p:5036-5044
    DOI: 10.1016/j.physa.2009.08.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437109007110
    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/j.physa.2009.08.027?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. R. Chialvo, Dante, 2004. "Critical brain networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(4), pages 756-765.
    2. Markošová, Mária, 2008. "Network model of human language," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 661-666.
    Full references (including those not matched with items on IDEAS)

    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. Guan, Sihai & Wan, Dongyu & Yang, Yanmiao & Biswal, Bharat, 2022. "Sources of multifractality of the brain rs-fMRI signal," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Alfaro, Carlos A. & Valencia, Carlos E. & Vargas, Marcos C., 2023. "Computing sandpile configurations using integer linear programming," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    3. Jasleen Gundh & Awaneesh Singh & R K Brojen Singh, 2015. "Ordering Dynamics in Neuron Activity Pattern Model: An Insight to Brain Functionality," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-16, October.
    4. Reis, Adriane S. & Iarosz, Kelly C. & Ferrari, Fabiano A.S. & Caldas, Iberê L. & Batista, Antonio M. & Viana, Ricardo L., 2021. "Bursting synchronization in neuronal assemblies of scale-free networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Werner, Gerhard, 2013. "Consciousness viewed in the framework of brain phase space dynamics, criticality, and the Renormalization Group," Chaos, Solitons & Fractals, Elsevier, vol. 55(C), pages 3-12.
    6. Zare, Marzieh & Grigolini, Paolo, 2013. "Criticality and avalanches in neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 55(C), pages 80-94.
    7. Tachimori, Yutaka & Iwanaga, Hiroaki & Tahara, Takashi, 2013. "The networks from medical knowledge and clinical practice have small-world, scale-free, and hierarchical features," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6084-6089.
    8. Pawel Sobkowicz, 2009. "Modelling Opinion Formation with Physics Tools: Call for Closer Link with Reality," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-11.
    9. Giulio Ruffini & Ricardo Salvador & Ehsan Tadayon & Roser Sanchez-Todo & Alvaro Pascual-Leone & Emiliano Santarnecchi, 2020. "Realistic modeling of mesoscopic ephaptic coupling in the human brain," PLOS Computational Biology, Public Library of Science, vol. 16(6), pages 1-25, June.
    10. Manfred G Kitzbichler & Marie L Smith & Søren R Christensen & Ed Bullmore, 2009. "Broadband Criticality of Human Brain Network Synchronization," PLOS Computational Biology, Public Library of Science, vol. 5(3), pages 1-13, March.

    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:388:y:2009:i:24:p:5036-5044. 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.