Adjacent vertex distinguishing edge colorings of the direct product of a regular graph by a path or a cycle
Discussiones Mathematicae Graph Theory, Tome 31 (2011) no. 3, p. 547.

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In this paper we investigate the minimum number of colors required for a proper edge coloring of a finite, undirected, regular graph G in which no two adjacent vertices are incident to edges colored with the same set of colors. In particular, we study this parameter in relation to the direct product of G by a path or a cycle.
Classification : 05C15, 05C38, 05C76
Mots-clés : chromatic index, adjacent vertex distinguishing edge coloring, direct product, matching
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Laura Frigerio; Federico Lastaria; Norma Zagaglia Salvi. Adjacent vertex distinguishing edge colorings of the direct product of a regular graph by a path or a cycle. Discussiones Mathematicae Graph Theory, Tome 31 (2011) no. 3, p. 547. https://geodesic-test.mathdoc.fr/item/DMGT_2011__31_3_271048/