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Peer-reviewedCC BY 4.0Mathematics

Modular Total H-Irregularity Strength of Graphs

  • Martin Bača1
  • Marcela Lascsáková1
  • Andrea Semaničová-Feňovčíková1,2
  1. 1Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia
  2. 2Division of Mathematics, Saveetha School of Engineering, SIMATS, Chennai 602 105, India
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Abstract

We investigate the modular total H-irregularity strength, a modular variant of the total H-irregularity strength of graphs. We establish a sufficient condition under which these two graph invariants coincide. As applications of this result, we determine the exact values of the modular total H-irregularity strength for several graph families. In each case, the obtained value attains the corresponding lower bound, proving that the bound is sharp.

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Cite

BibTeXRIS
BibTeX
@article{baca2026modular,
  title = {{Modular Total H-Irregularity Strength of Graphs}},
  author = {Martin Bača and Marcela Lascsáková and Andrea Semaničová-Feňovčíková},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203666},
  url = {https://www.mdpi.com/2227-7390/14/20/3666},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Modular Total H-Irregularity Strength of Graphs
AU  - Martin Bača
AU  - Marcela Lascsáková
AU  - Andrea Semaničová-Feňovčíková
PY  - 2026
DA  - 2026/10/10
JO  - Mathematics
DO  - 10.3390/math14203666
UR  - https://www.mdpi.com/2227-7390/14/20/3666
AB  - We investigate the modular total H-irregularity strength, a modular variant of the total H-irregularity strength of graphs. We establish a sufficient condition under which these two graph invariants coincide. As applications of this result, we determine the exact values of the modular total H-irregularity strength for several graph families. In each case, the obtained value attains the corresponding lower bound, proving that the bound is sharp.
SN  - 2227-7390
ER  -