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Network flows are used to model concepts like traffic or water pipe systems. The basic idea is to move as many units of flow from source to sink nodes via edges with limited capacity.

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Prove that every maximal flow yields the same minimal cut

Hi I'm trying to prove the following proposition: Given a network $G,s,t,\omega$ where $\omega$ is the capacity, create a minimal cut cut ${S=\left\{ (s,v)\in E_{G_{r\_max}}\right\} }$ where $G_{r …
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