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Problem 8 [15 points] Two graphs G and H are said to be isomorphic if the vertices of G may be reordered so that G

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Problem 8 [15 points] Two graphs G and H are said to be isomorphic if the vertices of G may be reordered so that G is identical to H. Let ISO-?G. H? 1 G and H are isomorphic graphs). Prove that ISO E NP. Hint: Construct a nondeterministic TM that decides ISO in polyonimial time and show that your construction is correct. Alternatively, construct a deterministic TM that verifies ISO in polyonimial time.]

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