IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v6y2015i1d10.1038_ncomms10196.html
   My bibliography  Save this article

Breaking of the site-bond percolation universality in networks

Author

Listed:
  • Filippo Radicchi

    (Center for Complex Networks and Systems Research, School of Informatics and Computing, Indiana University)

  • Claudio Castellano

    (Istituto dei Sistemi Complessi (ISC-CNR)
    Sapienza Università di Roma)

Abstract

The stochastic addition of either vertices or connections in a network leads to the observation of the percolation transition, a structural change with the appearance of a connected component encompassing a finite fraction of the system. Percolation has always been regarded as a substrate-dependent but model-independent process, in the sense that the critical exponents of the transition are determined by the geometry of the system, but they are identical for the bond and site percolation models. Here, we report a violation of such assumption. We provide analytical and numerical evidence of a difference in the values of the critical exponents between the bond and site percolation models in networks with null percolation thresholds, such as scale-free graphs with diverging second moment of the degree distribution. We discuss possible implications of our results in real networks, and provide additional insights on the anomalous nature of the percolation transition with null threshold.

Suggested Citation

  • Filippo Radicchi & Claudio Castellano, 2015. "Breaking of the site-bond percolation universality in networks," Nature Communications, Nature, vol. 6(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms10196
    DOI: 10.1038/ncomms10196
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/ncomms10196
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/ncomms10196?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
    ---><---

    Citations

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


    Cited by:

    1. Shriram Ashok Kumar & Maliha Tasnim & Zohvin Singh Basnyat & Faezeh Karimi & Kaveh Khalilpour, 2022. "Resilience Analysis of Australian Electricity and Gas Transmission Networks," Sustainability, MDPI, vol. 14(6), pages 1-20, March.
    2. Rong, Qingnan & Zhang, Jun & Sun, Xiaoqian & Wandelt, Sebastian, 2022. "On the estimation of percolation thresholds for real networks," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Li, Zhaoxing & Chen, Li, 2019. "Robustness of multipartite networks in face of random node failure," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 149-159.
    4. Qing Cai & Mahardhika Pratama & Sameer Alam, 2019. "Interdependency and Vulnerability of Multipartite Networks under Target Node Attacks," Complexity, Hindawi, vol. 2019, pages 1-16, November.
    5. Shu, Panpan & Wang, Wei & Eugene Stanley, H. & Braunstein, Lidia A., 2018. "A general social contagion dynamic in interconnected lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 272-279.

    More about this item

    Statistics

    Access and download statistics

    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:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms10196. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    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.