Modular H -Irregularity Strength of Graphs

Martin Bača (), Marcela Lascsáková and Andrea Semaničová-Feňovčíková
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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

Mathematics, 2025, vol. 13, issue 16, 1-13

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.

Keywords: (modular) vertex H-irregularity strength; (modular) edge H-irregularity strength; path; fan; friendship graph; ladder (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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