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What is a minimum product spanning tree and when would you use it? — The cost of a tree is the product of all the edge weights in the tree, instead of the sum of the weights. Since log(a*b) = log(a) + log(b), the minimum spanning tree on a graph whose edge weights are replaced with their logarithms gives the minimum product spanning tree on the original graph. You would use it to minimize the product.

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Google Interview

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