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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
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