Is it possible to reverse the result of the min-cut max-flow theorem and obtain the result that if you have the maximum cut, then you have the minimum flow? I've been thinking about it, but I have no clue if it's possible.
2026-03-25 17:35:35.1774460135
Does the maximum cut implies the minimum flow?
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Yes. These are dual problems. Note that the max-flow problem can be formulated as a Linear Program. So the Max-Flow Min-Cut Theorem follows from LP duality.