Explain the concept of a residual capacity graph in the context of the Ford-Fulkerson algorithm.

  • A graph containing only forward edges with no backward edges.
  • A graph representing the remaining capacity of edges after flow augmentation.
  • A graph with all capacities set to 1.
  • A graph with only backward edges and no forward edges.
In the Ford-Fulkerson algorithm, a residual capacity graph represents the remaining capacity of edges after the flow augmentation process. It includes backward edges indicating the possibility of reducing the flow. Understanding this concept is crucial for iteratively finding augmenting paths and improving the flow in the graph.
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