Geodesic
On L(2, 1)-Labelings of Oriented Graphs
Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 1, pp. 39-46

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We extend a result of Griggs and Yeh about the maximum possible value of the L(2, 1)-labeling number of a graph in terms of its maximum degree to oriented graphs. We consider the problem both in the usual definition of the oriented L(2, 1)-labeling number and in some variants we introduce.
Keywords: L (2,1)-labeling, directed graphs 
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Colucci, Lucas; Győri, Ervin. On L(2, 1)-Labelings of Oriented Graphs. Discussiones Mathematicae. Graph Theory, Tome 42 (2022) no. 1, pp. 39-46. http://geodesic.mathdoc.fr/item/DMGT_2022_42_1_a2/