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Suppose that you have a graph G, and an MST T for graph G. Suppose the weight of some edge not in the MST and
Suppose that you have a graph G, and an MST T for graph G. Suppose the weight of some edge not in the MST and drops. Propose a way to recompute the MST that is faster than just starting over and recomputing the whole thing. (There are various ways to do this, one might involve cycle detection. If you wish, you may assume you have available to you a cycle detection algorithm that finds a cycle, and reports the edges that make up the cycle, in time O(E).) Explain
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