In a standard s-t Maximum-Flow Problem, we assume edges have capaci ties, and there is no limit on how much flow is allowed to pass through a node. In this problem, we consider the variant of the Maximum-Flow and Minimum-Cut problems with node capacities. Let G=(V, E) be a directed graph, with source s ∈V, sink t ∈V, and nonnegative node capacities {cv ≥0} for each v ∈V. Given a flow f in this graph, the flow though a node v is defined as f^in (v). We say that a flow is feasible if it satisfies

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determine the maximal flow and the optimum flow in each arc for the network in figure 640 fi figure 640 network for problem 6 30 99341

Find the general flow pattern of the network shown in the figure. Assuming that the flows are all nonnegative, what is the largest possible value for x3 ? figure can't copy | Numerade

The accompanying figure shows a network in which the flow rate and direction of flow in certain branches are known. Find the flow rates and directions of flow in the remaining branches. CAN'T COPY THE FIGURE | Numerade

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Maximum flux Among all rectangular solids defined by the inequa... | Filo