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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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Why is this flow a max flow?

You need to draw the residual network for this.The augmented path finding procedure should be done in the residual network. There are no augmented path from S to t here. So this is a max flow.
dulaj sanjaya's user avatar