Question: Question #7: Minimum spanning trees (12) suppose that you are given a graph G = (V, E ) and a its minimum. spanning tree T.

Question #7: Minimum spanning trees (12) suppose that you are given

Question #7: Minimum spanning trees (12) suppose that you are given a graph G = (V, E ) and a its minimum. spanning tree T. Suppose that we delete from G, one of the edges (u, v) ET and let G denote this new graph. a) (3 points) Is G guaranteed to have a minimum spanning tree? fvo b) (4 points) Assuming that G has a minimum spanning tree T. TRUE or FALSE: the number of edges in T is no greater than the number of edges in T? Explain your answer in one sentence (5 points) Assuming that G' has a minimum spanning tree T, describe an algorithm for finding T. What is the running time of your algorithm? c)

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