Work

Modular Total H-Irregularity Strength of Graphs

Year: 2026

Type: article

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.

Source: Mathematics

DOI: 10.3390/math14203666

Authors: Martin Bača, Marcela Lascsáková, Andrea Semaničová-Feňovčíková

Language: English

Topic: Graph theory and applications

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Agentúra na Podporu Výskumu a Vývoja

Awards: Farebnosť a štruktúra planárnych, vnorených a planárno-príbuzných grafov, G943283779