@article{Cabrera-Martínez2026, 
author = {Abel Cabrera-Martínez and Alfonso Ríder Moyano and Ismael Rios-Villamar},
title = {On independent and total variants of Roman and Italian domination in Mycielskian graphs},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {6},
pages = {17550-17563},
keywords = {Roman domination, Italian domination, Mycielskian graphs},
url = {https://www.sciopen.com/article/10.3934/math.2026717},
doi = {10.3934/math.2026717},
abstract = {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.}
}