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Exercise 5 (2 pts). A tree is a connected graph that has no cycle. Consider the following decision problem: Given a graph G, determine whether

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Exercise 5 (2 pts). A tree is a connected graph that has no cycle. Consider the following decision problem: Given a graph G, determine whether G is a tree. Is this problem in P? Yes, no, unknown? Justify your answer (if your answer is "yes", briefly describe a polynomial-time algorithm)

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