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Feasible circulation

Let G be a connected digraph with capacity constraints b and c, where b(e) is always positive and c(e) = ∞ for all edges e. Show that G has a feasible circulation if and only if it is strongly connected. Moreover, give a criterion for the existence of a feasible flow if we also specify a source s and a sink t. Hint: Use Exercise 8.5.3.

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