Lecture 9: Flows

September 24th, 2008

We introduced the idea of a flow network, and the concept of a flow from a source to a sink. We then asked the question: “How can we maximize the flow from source to sink”, and developed the Ford-Fulkerson augmenting-path-based algorithm for this problem. A deep relationship to cuts in a graph proved the optimality of this method.

The material is drawn from Sections 7.1 and 7.2 of the textbook.

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