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Problem 6 [15 points A triangle in an undirected graph is a 3-clique. Let TRIANGLE = (C) | G is an undirected graph that has

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Problem 6 [15 points A triangle in an undirected graph is a 3-clique. Let TRIANGLE = (C) | G is an undirected graph that has a triangle } Prove that TRIANGLE E P. Hint: Construct a deterministic TM that decides TRIANGLE in polyonimial time and show that your construction is correct.]

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