IDEAS home Printed from https://ideas.repec.org/a/spr/metcap/v16y2014i3d10.1007_s11009-012-9312-9.html
   My bibliography  Save this article

The Degree Profile in Some Classes of Random Graphs that Generalize Recursive Trees

Author

Listed:
  • Hosam M. Mahmoud

    (The George Washington University)

Abstract

We study the degree profile for a number of classes of random graphs that arise as generalizations of recursive trees, including random circuits and random recursive trees endowed with the power of choice. We investigate the distribution of the degrees of nodes that appear in various stages of the insertion process in each of these graph types. For these classes, we will see phase transitions in degrees depending on the stage—early stages are associated with normal distributions, intermediate stages are associated with the Poisson distribution and in the late stages the degrees become degenerate.

Suggested Citation

  • Hosam M. Mahmoud, 2014. "The Degree Profile in Some Classes of Random Graphs that Generalize Recursive Trees," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 527-538, September.
  • Handle: RePEc:spr:metcap:v:16:y:2014:i:3:d:10.1007_s11009-012-9312-9
    DOI: 10.1007/s11009-012-9312-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11009-012-9312-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11009-012-9312-9?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. Hosam M. Mahmoud, 2010. "The Power of Choice in the Construction of Recursive Trees," Methodology and Computing in Applied Probability, Springer, vol. 12(4), pages 763-773, December.
    2. R. M. D'Souza & P. L. Krapivsky & C. Moore, 2007. "The power of choice in growing trees," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 59(4), pages 535-543, October.
    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. Panpan Zhang & Hosam M. Mahmoud, 2020. "On Nodes of Small Degrees and Degree Profile in Preferential Dynamic Attachment Circuits," Methodology and Computing in Applied Probability, Springer, vol. 22(2), pages 625-645, June.
    2. Panpan Zhang, 2023. "On Several Properties of A Class of Hybrid Recursive Trees," Methodology and Computing in Applied Probability, Springer, vol. 25(1), pages 1-20, March.

    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. Hosam Mahmoud, 2022. "Profile of Random Exponential Recursive Trees," Methodology and Computing in Applied Probability, Springer, vol. 24(1), pages 259-275, 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:spr:metcap:v:16:y:2014:i:3:d:10.1007_s11009-012-9312-9. 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.

    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: 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.