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    Minimum spanning tree proof

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    Is the statement below TRUE or FALSE. Why?

    Question :

    I have a connected weighted undirected graph G with a minimum spanning tree T. If I increase the weight of one edge, the new minimum spanning tree T' of the new graph G' differs from T in at most one edge.

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    Solution Summary

    This shows how to determine if a statement regarding a minimum spanning tree is true or false.