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The Green Path Problem: Given a graph G on n vertices with n/2 green vertices and n/2 red vertices (n is even), is there a

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The "Green Path Problem": Given a graph G on n vertices with n/2 green vertices and n/2 red vertices (n is even), is there a path from V_1 to v_n which contains every green vertex but passes through no vertex more than once? Show that the Green Path Problem is NP-complete. The "Green Path Problem": Given a graph G on n vertices with n/2 green vertices and n/2 red vertices (n is even), is there a path from V_1 to v_n which contains every green vertex but passes through no vertex more than once? Show that the Green Path Problem is NP-complete

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