IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6121454.html
   My bibliography  Save this article

Novel Concepts of Domination in Vague Graphs with Application in Medicine

Author

Listed:
  • Xiaoli Qiang
  • Maryam Akhoundi
  • Zheng Kou
  • Xinyue Liu
  • Saeed Kosari

Abstract

VG can manage the uncertainty relevant to the inconsistent and indeterminate information of all real-world problems, in which FGs possibly will not succeed in bringing about satisfactory results. The previous definitions’ restrictions in FGs have made us present new definitions in VGs. A wide range of applications have been attributed to the domination in graph theory for several fields such as facility location problem, school bus routing, modeling biological networks, and coding theory. Therefore, in this research, we study several concepts of domination, such as restrained dominating set (RDS), perfect dominating set (PDS), global restrained dominating set (GRDS), total - dominating set, and equitable dominating set (EDS) in VGs and also introduce their properties by some examples. Finally, we try to represent the application and importance of domination in the field of medical science and discuss the topic in today’s world, namely, the corona vaccine.

Suggested Citation

  • Xiaoli Qiang & Maryam Akhoundi & Zheng Kou & Xinyue Liu & Saeed Kosari, 2021. "Novel Concepts of Domination in Vague Graphs with Application in Medicine," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-10, June.
    • Handle: RePEc:hin:jnlmpe:6121454
    DOI: 10.1155/2021/6121454
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/6121454.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/6121454.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6121454?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hao Guan & Waheed Ahmad Khan & Amna Fida & Khadija Ali & Jana Shafi & Aysha Khan, 2024. "Dominations in Intutionistic Fuzzy Directed Graphs with Applications towards Influential Graphs," Mathematics, MDPI, vol. 12(6), pages 1-14, March.

    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:jnlmpe:6121454. 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.