Geodesic
Some maximum multigraphs and edge/vertex distance colourings
Discussiones Mathematicae. Graph Theory, Tome 15 (1995) no. 1, pp. 89-106

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Shannon-Vizing-type problems concerning the upper bound for a distance chromatic index of multigraphs G in terms of the maximum degree Δ(G) are studied. Conjectures generalizing those related to the strong chromatic index are presented. The chromatic d-index and chromatic d-number of paths, cycles, trees and some hypercubes are determined. Among hypercubes, however, the exact order of their growth is found.
Keywords: (strong) chromatic index, chromatic number, matching, hypercube, error-correcting code, asymptotics 
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Skupień, Zdzisław. Some maximum multigraphs and edge/vertex distance colourings. Discussiones Mathematicae. Graph Theory, Tome 15 (1995) no. 1, pp. 89-106. http://geodesic.mathdoc.fr/item/DMGT_1995_15_1_a9/