IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/3562382.html
   My bibliography  Save this article

Some Bounds of Weighted Entropies with Augmented Zagreb Index Edge Weights

Author

Listed:
  • Yujie Huang
  • Hafiz Mutee-ur-Rehman
  • Saima Nazeer
  • Deeba Afzal
  • Xiaoli Qiang

Abstract

The graph entropy was proposed by Körner in the year 1973 when he was studying the problem of coding in information theory. The foundation of graph entropy is in information theory, but it was demonstrated to be firmly identified with some established and often examined graph-theoretic ideas. For instance, it gives an equal definition to a graph to be flawless, and it can likewise be connected to acquire lower bounds in graph covering problems. The objective of this study is to solve the open problem suggested by Kwun et al. in 2018. In this paper, we study the weighted graph entropy by taking augmented Zagreb edge weight and give bounds of it for regular, connected, bipartite, chemical, unicyclic, etc., graphs. Moreover, we compute the weighted graph entropy of certain nanotubes and plot our results to see dependence of weighted entropy on involved parameters.

Suggested Citation

  • Yujie Huang & Hafiz Mutee-ur-Rehman & Saima Nazeer & Deeba Afzal & Xiaoli Qiang, 2020. "Some Bounds of Weighted Entropies with Augmented Zagreb Index Edge Weights," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, August.
    • Handle: RePEc:hin:jnddns:3562382
    DOI: 10.1155/2020/3562382
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2020/3562382.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2020/3562382.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/3562382?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:3562382. 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.