IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/9082693.html
   My bibliography  Save this article

Connectivity Index in Vague Graphs with Application in Construction

Author

Listed:
  • Huiqin Jiang
  • Yongsheng Rao
  • Tapan Senapati

Abstract

The vague graph (VG), which has recently gained a place in the family of fuzzy graph (FG), has shown good capabilities in the face of problems that cannot be expressed by fuzzy graphs and interval-valued fuzzy graphs. Connectivity index (CI) in graphs is a fundamental issue in fuzzy graph theory that has wide applications in the real world. The previous definitions’ limitations in the connectivity of fuzzy graphs directed us to offer new classifications in vague graph. Hence, in this paper, we investigate connectivity index, average connectivity index, and Randic index in vague graphs with several examples. Also, one of the motives of this research is to introduce some special types of vertices such as vague connectivity enhancing vertex, vague connectivity reducing vertex, and vague connectivity neutral vertex with their properties. Finally, an application of connectivity index in the selected town for building hospital is presented.

Suggested Citation

  • Huiqin Jiang & Yongsheng Rao & Tapan Senapati, 2022. "Connectivity Index in Vague Graphs with Application in Construction," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-15, February.
    • Handle: RePEc:hin:jnddns:9082693
    DOI: 10.1155/2022/9082693
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/ddns/2022/9082693.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/ddns/2022/9082693.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9082693?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:jnddns:9082693. 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.