Question: Show that if G is a directed graph and T is a spanning tree constructed using depth-first search, then every edge not in the spanning

Show that if G is a directed graph and T is a spanning tree constructed using depth-first search, then every edge not in the spanning tree is a forward edge connecting an ancestor to a descendant, a back edge connecting a descendant to an ancestor, or a cross edge connecting a vertex to a vertex in a previously visited subtree.

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