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Consider K 1 4 , 1 6 ( the complete bipartite graph with 1 4 nodes on the left and 1 6 nodes on the

Consider K14,16(the complete bipartite graph with 14 nodes on the left and 16 nodes on the right). Now each edge is colored one of x colors. We want the edges to be colored such that, for any node, all of the edges incident to that node are different colors. What is the minimum value of x necessary? Explain your answer.

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