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P5 (Bonus) [20 points] A coloring of a graph is an assignment of colors to its nodes so that no two adjacent nodes are assigned

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P5 (Bonus) [20 points] A coloring of a graph is an assignment of colors to its nodes so that no two adjacent nodes are assigned the same color. Let 3COLOR={G is colorable with 3 colors }. Show that 3COLOR is NP-complete. (Hint: Use the following three subgraphs.)

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