On oriented arc-coloring of subcubic graphs
Résumé
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that $\phi$(u)$\phi$(v) is an arc in H whenever is uv an arc in G. The oriented chromatic index of an oriented graph G is the minimum number of vertices in an oriented graph H such that there exists a homomorphism from the line digraph LD(G) of G to H (Recall that LD(G) is given by V (LD(G)) = A(G) and A(LD(G). We prove that every oriented subcubic graph has oriented chromatic index at most 7 and construct a subcubic graph with oriented chromatic index 6.
Domaines
Autre [cs.OH]
Origine : Fichiers produits par l'(les) auteur(s)
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