Question: Suppose you are given a directed graph G = ( V , E ) , with a positive integer capacity ce on each edge e

Suppose you are given a directed graph G =(V, E), with a positive integer capacity ce on each edge e, a source s in V, and a sink t in V. You are also given a maximum s-t flow in G, defined by a flow value fe on each edge e. The flow f is acyclic: There is no cycle in G on which all edges carry positive flow. The flow f is also integer-valued. Suppose you are given a directed graph G =(V, E), with a positive integer capacity ce on each edge e, a source s in V, and a sink t in V. You are also given a maximum s-t flow in G, defined by a flow value fe on each edge e. The flow f is acyclic: There is no cycle in G on which all edges carry positive flow. The flow f is also integer-valued.

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