Question: Problem 1: Recognizing graphs. (a) Design an algorithm that given a graph G, decides whether G is a tree. Prove that your algorithm is correct

Problem 1: Recognizing graphs. (a) Design an algorithm that given a graph G, decides whether G is a tree. Prove that your algorithm is correct and that it runs in polynomial time. (b) Design an algorithm that given a graph G, decides whether G is a cycle. Prove that your algorithm is correct and that it runs in polynomial time. Problem 1: Recognizing graphs. (a) Design an algorithm that given a graph G, decides whether G is a tree. Prove that your algorithm is correct and that it runs in polynomial time. (b) Design an algorithm that given a graph G, decides whether G is a cycle. Prove that your algorithm is correct and that it runs in polynomial time
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