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6. (a) Find an approximation for a minimum Hamilton cycle in the weighted graph below using the Nearest Neighbour Algorithm. Start at vertea: a and

6. (a) Find an approximation for a minimum Hamilton cycle in the weighted graph below using the Nearest Neighbour Algorithm. Start at vertea: a and use leaticographic ordering where applicable. Label the edges of the Hamilton cycle indicating the order in which they were chosen. (b) Find an approximation for a minimum Hamilton cycle in the weighted graph below using the Tree-Doubling Algorithm. Start with the minimum spanning tree indicated. Use lexicographic ordering where applicable

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