Abstract
In 1982, Berge defined two classes of digraphs in order to identify properties on the relation between stable sets and paths in digraphs. The first class that Berge defined is the class of $\alpha$-diperfect digraphs. A digraph $D$ is $\alpha$-diperfect if every induced subdigraph $D'$ of $D$ satisfies the following property: for every maximum stable set $S$ of $D'$ there is a path partit…