Quiz Question - 08-06-2023 - Network Flow

Consider a directed graph with 7 vertices (A, B, C, D, E, F, G), representing a system of pipes. The edges (pipes) have capacities (maximum flows) as described below:

  • A to B: 15 units
  • A to C: 10 units
  • B to D: 15 units
  • B to E: 5 units
  • C to F: 10 units
  • C to G: 15 units
  • D to E: 10 units
  • E to F: 15 units
  • F to G: 25 units
  • D to G: 20 units

If we want to move the maximum possible flow from A to G, what would this maximum flow be, according to the Ford-Fulkerson algorithm?

  1. 30 units
  2. 35 units
  3. 40 units
  4. 45 units
  5. None of the above 
Original Idea: Yuri Souza Pada

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