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The second step of Christofides heuristic is to identify the set of nodes S with odd degree with respect to the minimum spanning tree, and
The second step of Christofides heuristic is to identify the set of nodes S with odd degree with respect to the minimum spanning tree, and then find the minimum cost perfect node matching, W, of the nodes in S. In the minimum spanning tree you identified in (a), there should be 6 nodes with odd degree with respect to the minimum spanning tree: S = {1, 2, 3, 4, 6, 7}. If this is not the case, go back and rework your solution before proceeding. One of the pairs in the minimum cost perfect matching W is (1,4). Determine the two additional pairs included in W, and show your wor