Modular H-Irregularity Strength of Graphs

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.

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Publication Details

Journal
Mathematics
Published
2025-08-14
DOI
https://doi.org/10.3390/math13162599
Primary Topic
Oceanographic and Atmospheric Processes
Type
article
Field-Weighted Citation Impact
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article

Modular H-Irregularity Strength of Graphs

Mathematics
Oceanographic and Atmospheric Processes
article

Modular H-Irregularity Strength of Graphs

article en

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.

MathematicsVol. 13(16)
Technical University of Košice (SK), Saveetha University (IN)
Reduced inequalities
Openalex Percentile: Top 43%
Oceanographic and Atmospheric Processes
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Modular H-Irregularity Strength of Graphs · Mathematics (2025) | TGRS Research Map | TGRS