Ford-Fulkerson method
The Ford-Fulkerson method is an algorithm used to find the maximum flow in a flow network. It works by repeatedly searching for augmenting paths from the source to the sink and increasing the flow along these paths until no more augmenting paths can be found. This method relies on the concept of residual capacity, which represents the remaining capacity of edges after accounting for the current flow.
The algorithm can be implemented using various search techniques, such as Depth-First Search (DFS) or Breadth-First Search (BFS). The efficiency of the Ford-Fulkerson method depends on the method used to find augmenting paths and the capacities of the edges in the network. It is a foundational concept in network flow theory and has applications in various fields, including computer science and operations research.