Radio k-colorings of paths
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 1, pp. 5-21

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For a connected graph G of diameter d and an integer k with 1 ≤ k ≤ d, a radio k-coloring of G is an assignment c of colors (positive integers) to the vertices of G such that
Keywords: radio k-coloring, radio k-chromatic number
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Chartrand, Gary; Nebeský, Ladislav; Zhang, Ping. Radio k-colorings of paths. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 1, pp. 5-21. http://geodesic.mathdoc.fr/item/DMGT_2004_24_1_a0/