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Rus_ich [418]
3 years ago
12

An edge of a flow network is called critical if decreasing the capacity of this edge results in a decrease in the maximum flow.

On input a flow network G, you ran Ford-Fulkerson and computed a maximum flow f.
i. Give an efficient algorithm that finds a critical edge in G.
ii. Give an efficient algorithm that finds every critical edge in G.
Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

Answer:

  1. Begin
  2. find the residual graph of the graph G(V,E) using ford Fulkerson
  3. For each edge u, v in the residual graph such that u, v is not in the residual graph and also not in G
  4. Apply DFS to see if u has no path to v
  5. then return edge (u,v)
  6. else
  7. nothing
  8. end

Step-by-step explanation:

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From the question given above, the following data were obtained:

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