Geodesic
The Roman Domatic Problem in Graphs and Digraphs: A Survey
Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 3, pp. 861-891

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In this paper, we survey results on the Roman domatic number and its variants in both graphs and digraphs. This fifth survey completes our works on Roman domination and its variations published in two book chapters and two other surveys.
Keywords: Roman domination, domatic 
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Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz. The Roman Domatic Problem in Graphs and Digraphs: A Survey. Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 3, pp. 861-891. http://geodesic.mathdoc.fr/item/DMGT_2022_42_3_a11/