The Ford-Fulkerson Method is an algorithm used to compute the maximum flow in a flow network. It operates by iteratively finding augmenting paths in the residual graph and increasing the flow until no more augmenting paths are found.

Ford-Fulkerson Method

Maximum Flow refers to the greatest possible rate of flow from a source to a sink in a flow network, subject to capacity constraints on the edges. It is a fundamental problem in network theory with applications in transportation, telecommunications, and supply chain optimization.

maximum flow

A flow network is a directed graph where each edge has a capacity and each flow must not exceed the capacity, typically used to model the flow of resources through a system. The goal is often to find the maximum flow from a source node to a sink node, which can be efficiently computed using algorithms like the Ford-Fulkerson method.

flow network

augmenting paths

A residual graph is a transformed version of a flow network that reflects the remaining capacity for flow between nodes, allowing for the identification of augmenting paths to optimize flow. It is crucial in algorithms like the Ford-Fulkerson method for computing the maximum flow in a network, as it helps track potential adjustments to the current flow configuration.

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