IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/9958969.html
   My bibliography  Save this article

Computation of the Double Metric Dimension in Convex Polytopes

Author

Listed:
  • Liying Pan
  • Muhammad Ahmad
  • Zohaib Zahid
  • Sohail Zafar
  • Kenan Yildirim

Abstract

A source detection problem in complex networks has been studied widely. Source localization has much importance in order to model many real-world phenomena, for instance, spreading of a virus in a computer network, epidemics in human beings, and rumor spreading on the internet. A source localization problem is to identify a node in the network that gives the best description of the observed diffusion. For this purpose, we select a subset of nodes with least size such that the source can be uniquely located. This is equivalent to find the minimal doubly resolving set of a network. In this article, we have computed the double metric dimension of convex polytopes Rn and Qn by describing their minimal doubly resolving sets.

Suggested Citation

  • Liying Pan & Muhammad Ahmad & Zohaib Zahid & Sohail Zafar & Kenan Yildirim, 2021. "Computation of the Double Metric Dimension in Convex Polytopes," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, October.
    • Handle: RePEc:hin:jjmath:9958969
    DOI: 10.1155/2021/9958969
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2021/9958969.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2021/9958969.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/9958969?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
    ---><---

    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:hin:jjmath:9958969. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.