Geodesic
Kernels in edge coloured line digraph
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 91-98.

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We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed path (or a directed cycle) is called monochromatic if all of its arcs are coloured alike. A set N ⊆ V(D) is said to be a kernel by monochromatic paths if it satisfies the two following conditions (i) for every pair of different vertices u, v ∈ N there is no monochromatic directed path between them and (ii) for every vertex x ∈ V(D)-N there is a vertex y ∈ N such that there is an xy-monochromatic directed path.
Keywords: kernel, kernel by monochromatic paths, line digraph, edge coloured digraph 
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Galeana-Sánchez, H.; Pastrana Ramírez, L. Kernels in edge coloured line digraph. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 1, pp. 91-98. http://geodesic.mathdoc.fr/item/DMGT_1998_18_1_a7/

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