Question: We have a graph $G$ with positive edge weights. Suppose we create a new graph $G ^ 2 $ , which is the same as

We have a graph $G$ with positive edge weights. Suppose we create a new graph $G^2$, which is the same as $G$ but with each edge weight squared. Does the MST of $G$ always contain the same edges as the MST of $G^2$?

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