  It is well-known that for any set $U$ of vertices in a connected graph $G$
there is either a subdivided star in $G$ with a large number of leaves in $U$,
or a comb in $G$ with a large number of teeth in $U$.
  In this paper we extend this property to directed graphs. More precisely, we
prove that for any set $U$ of vertices in a strongly connected directed graph
$D$, there exists a strongly connected substructure of $D$ attached to a large
number of vertices in $U$ that is either shaped by a star or shaped by a comb.
