IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v13y2021i1p16.html
   My bibliography  Save this article

Total Edge Irregularity Strength of q Tuple Book Graphs

Author

Listed:
  • Lucia Ratnasari
  • Sri Wahyuni
  • Yeni Susanti
  • Diah Junia Eksi Palupi

Abstract

Let G(V, E) be a simple, undirected, and finite graph with a vertex set V and an edge set E. An edge irregular total k-labelling is a function f from the set V \cup E to the set of non-negative integer set (1, 2, ... , k) such that any two different edges in E have distinct weights. The weight of edge xy is defined as the sum of the label of vertex x, the label of vertex y and the label of edge xy. The minimum k for which the graph G can be labelled by an edge irregular total k-labelling is called the total edge irregularity strength of G, denoted by tes(G). We have constructed the formula of an edge irregular total k-labelling and determined the total edge irregularity strength of triple book graphs, quadruplet book graphs and quintuplet book graphs. In this paper, we construct an edge irregular total of k-labelling and show the exact value of the total edge irregularity strength of q tuple book graphs.

Suggested Citation

  • Lucia Ratnasari & Sri Wahyuni & Yeni Susanti & Diah Junia Eksi Palupi, 2021. "Total Edge Irregularity Strength of q Tuple Book Graphs," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(1), pages 1-16, February.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:1:p:16
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/44569/47184
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/0/44569
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:jmrjnl:v:13:y:2021:i:1:p:16. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.