Pair L(2, 1)-Labelings of Infinite Graphs
Discussiones Mathematicae. Graph Theory, Tome 39 (2019) no. 1, pp. 257-269

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An L(2, 1)-labeling of a graph G = (V,E) is an assignment of nonnegative integers to V such that two adjacent vertices must receive numbers (labels) at least two apart and further, if two vertices are in distance 2 then they receive distinct labels. This article studies a generalization of the L(2, 1)-labeling. We assign sets with at least one element to vertices of G under some conditions.
Keywords: L(2, 1)-labeling
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     author = {Yeh, Roger K.},
     title = {Pair {L(2,} {1)-Labelings} of {Infinite} {Graphs}},
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Yeh, Roger K. Pair L(2, 1)-Labelings of Infinite Graphs. Discussiones Mathematicae. Graph Theory, Tome 39 (2019) no. 1, pp. 257-269. http://geodesic.mathdoc.fr/item/DMGT_2019_39_1_a19/