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As discussed in the class, the single-link k clustering problem can be solved based on minimum spanning tree (MST) algorithms. There are two natural algorithms:
As discussed in the class, the single-link k clustering problem can be solved based on minimum spanning tree (MST) algorithms. There are two natural algorithms:
(a) Apply Kruskals algorithm and stop when there are k components, and
(b) Apply Prims algorithm to obtain a MST and then delete k 1 longest edges.
Are the above two algorithms equally good, or one is better than the other? Please justify your answer.
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