Question: (10 Points) DFS vs. BFS (Ch.3, Ex.6): Given a connccted graph G (V, E), and a specific node u EV. You run BFS from u,

(10 Points) DFS vs. BFS (Ch.3, Ex.6): Given a connccted graph G (V, E), and a specific node u EV. You run BFS from u, and you fnd the BFS tree T rooted at u. You run DFS frorn u, aid you find the sane DFS tree T rooted at u. Prove that G = T, i.e., G cannot contain any edges that do not belong to T (10 Points) DFS vs. BFS (Ch.3, Ex.6): Given a connccted graph G (V, E), and a specific node u EV. You run BFS from u, and you fnd the BFS tree T rooted at u. You run DFS frorn u, aid you find the sane DFS tree T rooted at u. Prove that G = T, i.e., G cannot contain any edges that do not belong to T
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