Some progress on the mixed roman domination in graphsHossein Abdollahzadeh Ahangar, Jafar Amjadi, Mustapha Chellali, Saeed Kosari, Vladimir Samodivkin and Seyed Mahmoud SheikholeslamiRAIRO-Oper. Res., 55 (2021) S1411-S1423DOI: https://doi.org/10.1051/ro/2020038