IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/2085778.html
   My bibliography  Save this article

Metric Dimension on Path-Related Graphs

Author

Listed:
  • Saqib Nazeer
  • Muhammad Hussain
  • Fatimah Abdulrahman Alrawajeh
  • Sultan Almotairi

Abstract

Graph theory has a large number of applications in the fields of computer networking, robotics, Loran or sonar models, medical networks, electrical networking, facility location problems, navigation problems etc. It also plays an important role in studying the properties of chemical structures. In the field of telecommunication networks such as CCTV cameras, fiber optics, and cable networking, the metric dimension has a vital role. Metric dimension can help us in minimizing cost, labour, and time in the above discussed networks and in making them more efficient. Resolvability also has applications in tricky games, processing of maps or images, pattern recognitions, and robot navigation. We defined some new graphs and named them middle graphs, - total graphs, symmetrical planar pyramid graph, reflection symmetrical planar pyramid graph, middle tower path graph, and reflection middle tower path graph. In the recent study, metric dimension of these path-related graphs is computed.

Suggested Citation

  • Saqib Nazeer & Muhammad Hussain & Fatimah Abdulrahman Alrawajeh & Sultan Almotairi, 2021. "Metric Dimension on Path-Related Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-12, October.
    • Handle: RePEc:hin:jnlmpe:2085778
    DOI: 10.1155/2021/2085778
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2021/2085778.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2021/2085778.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/2085778?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:jnlmpe:2085778. 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.