Question

in what way the flow capacity of an arc limits (has an impact on) a maximal...

in what way the flow capacity of an arc limits (has an impact on) a maximal flow problem? It would be easier to solve such a problem if the flow capacities are large numbers?

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Answer #1

ANSWER:

A maximum flow in this new-built network is the solution to the problem, the sources now become ordinary vertices, and they are subject to the entering-flow equals leaving-flow property.
They must lead to at least O(N³) approach.
If the flow capacities are large numbers, then another algorithm (such as dynamic programming or greedy), is more appropriate.

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