Question: Suppose G is an undirected, connected, weighted graph such that the edges in G have distinct edge weights, which may be positive or negative. Show

Suppose G is an undirected, connected, weighted graph such that the edges in G have distinct edge weights, which may be positive or negative. Show that the minimum spanning tree for G may be changed if we square all the edge weights in G, that is, G may have a different set of edges in its minimum spanning tree if we replace the weight, w(e), of each edge e in G, with w(e)².

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