Question: 12. Write a program that uses TS to find a minimum k-tree in a graph. Test your program on the graph shown in Figure 12.36,

12. Write a program that uses TS to find a minimum k-tree in a graph. Test your program on the graph shown in Figure 12.36, with k = 4.

Your program begins with a greedy-based solution that selects the minimal cost edge first and 3 additional edges that are adjacent to this edge (depicted by bold edges in Figure 12.36).
Moves in this search consist of the addition of an adjacent edge and the deletion of a single edge from the tree. You may wish to consult “Tabu Search” by Fred Glover and Manuel Laguna. 50

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