What is the role of augmenting paths in the Ford-Fulkerson algorithm?

  • Augmenting paths are paths with negative capacities, allowing for flow reduction.
  • Augmenting paths are paths with no residual capacity, indicating maximum flow has been reached.
  • Augmenting paths are used to increase the flow in the network by pushing more flow through the existing edges.
  • Augmenting paths determine the maximum flow in the network without modifying the existing flow values.
Augmenting paths play a crucial role in the Ford-Fulkerson algorithm by allowing the algorithm to iteratively increase the flow in the network. These paths are identified and used to augment the flow, making progress toward the maximum flow in the network.
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