Design an algorithm to update the minimum spanning tree, Computer Engineering

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Design an algorithm to update the minimum spanning tree

Suppose you are given an undirected graph G with weighted edges and a minimum spanning tree T of G.

• Design an algorithm to update the minimum spanning tree when the weight of a single edge e is increased.

• Design an algorithm to update the minimum spanning tree when the weight of a single edge e is decreased.

In both cases, the input to your algorithm is the edge e and its new weight; your algorithms should modify T so that it is still a minimum spanning tree. Analyze the running time of your algorithms and prove the correctness.

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Computer Engineering: Design an algorithm to update the minimum spanning tree

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