Question: Q2. (20 points) Consider the following algorithm for finding a MST. Given a graph G=(V,E), sort the edges in decreasing order of their weights. Pick

Q2. (20 points) Consider the following algorithm for finding a MST.

Q2. (20 points) Consider the following algorithm for finding a MST. Given a graph G=(V,E), sort the edges in decreasing order of their weights. Pick each edge e in sorted order, and if e creates a cycle in G, remove it from G. Note that each time you remove an edge, you are modifying the graph, so that the next check for a cycle will be on the reduced graph. Prove that this method is correct, and analyze its running time

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