IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/1818734.html
   My bibliography  Save this article

Minimal Doubly Resolving Sets of Some Classes of Convex Polytopes

Author

Listed:
  • Muhammad Ahmad
  • Dalal Alrowaili
  • Zohaib Zahid
  • Imran Siddique
  • Aiyared Iampan
  • Gohar Ali

Abstract

Source localization is one of the most challenging problems in complex networks. Monitoring and controlling complex networks is of great interest for understanding different types of systems, such as biological, technological, and complex physical systems. Modern research has made great developments in identifying sensors through which we can monitor or control complex systems. For this task, we choose a set of sensors with the smallest possible size so that the source may be identified. The problem of locating the source of an epidemic in a network is equivalent to the problem of finding the minimal doubly resolving sets (MDRSs) in a network. In this paper, we calculate the minimal doubly resolving sets (MDRSs) of some classes of convex polytopes in order to compute their double metric dimension (DMD).

Suggested Citation

  • Muhammad Ahmad & Dalal Alrowaili & Zohaib Zahid & Imran Siddique & Aiyared Iampan & Gohar Ali, 2022. "Minimal Doubly Resolving Sets of Some Classes of Convex Polytopes," Journal of Mathematics, Hindawi, vol. 2022, pages 1-13, February.
    • Handle: RePEc:hin:jjmath:1818734
    DOI: 10.1155/2022/1818734
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/1818734.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/1818734.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/1818734?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:1818734. 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.