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2. Show that the following languages are in NP by describing and analyzing an efficient verifier for each: (a) HAM-CYCLE G G is an undirected

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2. Show that the following languages are in NP by describing and analyzing an efficient verifier for each: (a) HAM-CYCLE G G is an undirected graph with a Hamiltonian cycle] (b) TRIPARTITE-GRAPI-{G-(V, E) G is an undirected graph and f : V (1,2,3) (c) GRAPH-IsSoMORPHISM ((Gi, G2) Gi and G2 are graphically isomorphic.)

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