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Most efficient way to recompute flow in a graph after changing capacity of one edge

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User

( 4 months ago )

What is the most efficient way to recompute maximum flow in a graph when:

  • we increase flow on one edge by one
  • we decrease flow on one edge by one

In the first case, is is enough to run one iteration of Ford-Fulkerson algorithm? In the second case, we need to recompute maximum flow only if the edge is part of a set of edges of maximum flow. Is it also enough to run one iteration of Ford-Fulkerson?

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