Question: ( 3 0 points ) Let G be a weighted graph and let T be an MST for G . Let G ' be the

(30 points) Let G be a weighted graph and let T be an MST for G. Let G' be the graph
obtained by selecting one edge e!inT and decreasing its weight by a positive quantity . Give
an algorithm that gets G,T,e and as input and returns a MST of the new graph G'. Prove
the correctness of your algorithm.
(30 points) Let G be a weighted graph and let T

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