IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v374y2007i1p491-500.html
   My bibliography  Save this article

Models for random graphs with variable strength edges

Author

Listed:
  • Wyld, A.
  • Rodgers, G.J.

Abstract

Two models for random graph formation are introduced that use a set of vertices with an associated set of vectors. A random process determines whether edges will be formed or clusters of connected vertices destroyed: edge-formation between vertices with similar vectors is preferred, and cluster destruction is controlled by picking an edge at random, with the probability of destruction being greater if the edge connects two vertices with dissimilar vectors. Differential equations for edge-strength and cluster-size distributions are derived and presented, and solutions to these equations are compared with numerical simulations of the models. The models are shown to have robust power-law cluster-size distributions for all parametric variations of the model, with an exponent of -52. The edge-strengths are shown to have an approximately Gaussian distribution, which does not vary with cluster size.

Suggested Citation

  • Wyld, A. & Rodgers, G.J., 2007. "Models for random graphs with variable strength edges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 491-500.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:491-500
    DOI: 10.1016/j.physa.2006.07.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106007783
    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.2006.07.002?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.

    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:374:y:2007:i:1:p:491-500. 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: 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.