On Locally \(n\)-(Arc)-Strong Digraphs

In \(1974\), G. Chartrand and R.E. Pippert first defined locally connected and locally \(n\)-connected graphs and obtained some interesting results. In this paper we first extend these concepts to digraphs. We obtain generalizations of some results of Chartrand and Pippert and establish relationships between local connectedness and global connectedness in digraphs.