IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-1-4614-0754-6_9.html
   My bibliography  Save this book chapter

k-Core Organization in Complex Networks

In: Handbook of Optimization in Complex Networks

Author

Listed:
  • G. J. Baxter

    (Universidade de Aveiro)

  • S. N. Dorogovtsev

    (A. F. Ioffe Physico-Technical Institute)

  • A. V. Goltsev

    (A. F. Ioffe Physico-Technical Institute)

  • J. F. F. Mendes

    (Universidade de Aveiro)

Abstract

We analyse the complex network architectures based on the k-core notion, where the k-core is the maximal subgraph in a network, whose vertices all have internal degree at least k. We explain the nature of the unusual “hybrid” phase transition of the emergence of a giant k-core in a network, which combines a jump in the order parameter and a critical singularity, and relate this transition to critical phenomena in other systems. Finally, we indicate generic features and differences between the k-core problem and bootstrap percolation.

Suggested Citation

  • G. J. Baxter & S. N. Dorogovtsev & A. V. Goltsev & J. F. F. Mendes, 2012. "k-Core Organization in Complex Networks," Springer Optimization and Its Applications, in: My T. Thai & Panos M. Pardalos (ed.), Handbook of Optimization in Complex Networks, edition 1, chapter 0, pages 229-252, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-0754-6_9
    DOI: 10.1007/978-1-4614-0754-6_9
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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:spr:spochp:978-1-4614-0754-6_9. 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.springer.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.