IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i16p2599-d1724316.html
   My bibliography  Save this article

Modular H -Irregularity Strength of Graphs

Author

Listed:
  • Martin Bača

    (Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia)

  • Marcela Lascsáková

    (Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia)

  • Andrea Semaničová-Feňovčíková

    (Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia
    Division of Mathematics, Saveetha School of Engineering, SIMATS, Chennai 602 105, India)

Abstract

Two new graph characteristics, the modular edge H -irregularity strength and the modular vertex H -irregularity strength, are introduced. Lower bounds on these graph characteristics are estimated, and their exact values are determined for certain families of graphs. This demonstrates the sharpness of the presented lower bounds.

Suggested Citation

  • Martin Bača & Marcela Lascsáková & Andrea Semaničová-Feňovčíková, 2025. "Modular H -Irregularity Strength of Graphs," Mathematics, MDPI, vol. 13(16), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:16:p:2599-:d:1724316
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/16/2599/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/16/2599/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Muhammad Ibrahim & Ana Gulzar & Muhammad Fazil & Muhammad Naeem Azhar & Firdous A. Shah, 2022. "On Edge H-Irregularity Strength of Hexagonal and Octagonal Grid Graphs," Journal of Mathematics, Hindawi, vol. 2022, pages 1-10, January.
    2. Martin Bača & Muhammad Imran & Andrea Semaničová-Feňovčíková, 2021. "Irregularity and Modular Irregularity Strength of Wheels," Mathematics, MDPI, vol. 9(21), pages 1-14, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      More about this item

      Keywords

      ;
      ;
      ;
      ;
      ;
      ;

      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:gam:jmathe:v:13:y:2025:i:16:p:2599-:d:1724316. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.