Modular irregularity strength of dense graphs

Suparta, I Nengah (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Pendidikan Ganesha)
Candiasa, Made (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Pendidikan Ganesha)
Prasancika, Kadek Wahyu (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Pendidikan Ganesha)
Baca, Martin (Department of Appl. Mathematics and Informatics, Technical University, Kosice, Slovak Republic)

Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 12, No 1 (2024): Electronic Journal of Graph Theory and Applications

We solve the open problem posed in Modular irregularity strength of graphs, Electron. J. Graph Theory and Appl. 8 (2020), 435–433, asking about the modular irregularity strength of the complete graph Kn for all n ≥ 3. Furthermore, we establish also the exact values of the modular irregularity strength of complete bipartite graphs Kn, n + t for any positive integer n and t = 0, 1, 2.