BIRMELÉ , Etienne

A $k$-digraph is a digraph in which every vertex has outdegree at most $k$. A $(k\veel)$-digraph is a digraph in which a vertex has either outdegree at most $k$ or indegree at most $l$. Motivated by function theory, we study the maximum value $\Phi(k)$ (resp. $\Phi^\vee(k,l)$ of the arc-chromatic number over the $k$-digraphs (resp....

A {\it $k$-digraph} is a digraph in which every vertex has outdegree at most $k$. A {\it $(k\vee l)$-digraph} is a digraph in which a vertex has either outdegree at most $k$ or indegree at most $l$. Motivated by function theory, we study the maximum value $\Phi (k)$ (resp. $\Phi^{\vee}(k,l)$) of the arc-chromatic number over the $k$-digraphs...