IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/4746609.html
   My bibliography  Save this article

Modular Irregular Labeling on Double-Star and Friendship Graphs

Author

Listed:
  • K. A. Sugeng
  • Z. Z. Barack
  • N. Hinding
  • R. Simanjuntak
  • Ali Jaballah

Abstract

A modular irregular graph is a graph that admits a modular irregular labeling. A modular irregular labeling of a graph G of order n is a mapping of the set of edges of the graph to 1,2,…,k such that the weights of all vertices are different. The vertex weight is the sum of its incident edge labels, and all vertex weights are calculated with the sum modulo n. The modular irregularity strength is the minimum largest edge label such that a modular irregular labeling can be done. In this paper, we construct a modular irregular labeling of two classes of graphs that are biregular; in this case, the regular double-star graph and friendship graph classes are chosen. Since the modular irregularity strength of the friendship graph also holds the minimal irregularity strength, then the labeling is also an irregular labeling with the same strength as the modular case.

Suggested Citation

  • K. A. Sugeng & Z. Z. Barack & N. Hinding & R. Simanjuntak & Ali Jaballah, 2021. "Modular Irregular Labeling on Double-Star and Friendship Graphs," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, December.
    • Handle: RePEc:hin:jjmath:4746609
    DOI: 10.1155/2021/4746609
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2021/4746609.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2021/4746609.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/4746609?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:4746609. 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.