# Flow Network

In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow. The amount of flow on an edge cannot exceed the capacity of the edge. Often in Operations Research, a directed graph is called a network, the vertices are called nodes and the edges are called arcs. A flow must satisfy the restriction that the amount of flow into a node equals the amount of flow out of it, except when it is a source, which has more outgoing flow, or sink, which has more incoming flow. A network can be used to model traffic in a road system, fluids in pipes, currents in an electrical circuit, or anything similar in which something travels through a network of nodes.

Read more about Flow Network:  Definition, Example, Applications

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Ford–Fulkerson Algorithm - Integral Example
... The following example shows the first steps of Ford–Fulkerson in a flow network with 4 nodes, source and sink ... In each step, only a flow of is sent across the network ... Path Capacity Resulting flow network Initial flow network After 1998 more steps … Final flow network Notice how flow is "pushed back" from to when finding the path ...

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