Basically, I am looking for a (well-defined) term for some borderline vertexes interconnecting other vertices in and outside of a given connected component.More specifically, given directed graph $G = (V_G, E_G)$ and (strongly) connected component $C = (V_C, E_C)$, how do people refer to such vertices $x$, where,$x \in V_C$;$\exists\ v \in V_G \setminus V_C$ such that $(x, v) \in E_G \setminus E_C$;My friends have suggested names such as gateway vertex and border vertex. But I feel obliged to make sure we are not reinventing something well-known / well-defined.It would be helpful if someone can help identify an equivalent (or likewise) definition of this concept in the literature. Thanks a lot.EDIT:Please note that -- unlike the well-defined concept of cut vertex -- the concept of borderline vertex (or whatever it should be called) is with respect to a specific given component, not the entire graph.
Terminology for vertices in graph connecting vertices in and outside of a given component
graph theory;terminology;graphs