TY  - JOUR
AU  - Cabrera-Martínez, Abel
AU  - Moyano, Alfonso Ríder
AU  - Rios-Villamar, Ismael
PY  - 2026
TI  - On independent and total variants of Roman and Italian domination in Mycielskian graphs
JO  - AIMS Mathematics
SP  - 17550
EP  - 17563
VL  - 11
IS  - 6
AB  - Let    G be a graph and    μ  (  G  ) its Mycielskian graph. Roman and Italian domination, together with their independent and total variants, have been extensively studied, including studies on graph operators and products. In this article, we investigated the behavior of these domination parameters in Mycielskian graphs and, in particular, we provided closed formulas for these invariants in    μ  (  G  ) in terms of the corresponding values of    G.
UR  - https://doi.org/10.3934/math.2026717
DO  - 10.3934/math.2026717