. Show that a directed graph is strongly connected if, and only... | Filo
. Show that a directed graph is strongly connected if, and only... | Filo
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Undirected vs. directed connectivity. (a) Prove that in any connected undirected graph G=(V, E) there is a vertex v ∈V whose removal leaves G connected. (Hint: Consider the DFS search tree for G . ) (b) Give an example of a strongly connected directed graph G=(V, E) such that, for every v ∈V, removing v from G leaves a directed graph that is not strongly connected. (c) In an undirected graph with 2 connected components it is always possible to make the graph connected by adding only one edge. Gi
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