7.1 The Maximum-Flow Problem and the Ford-Fulkerson Algorithm

The Problem

Graphs are often used to model transportation networks: edges carry some sort of traffic and nodes pass traffic between edges. In this model:

Flow Networks: In graphs of the form described as above, the traffic is referred to as “flow” which is just the abstract thing generated at source nodes, transmitted across edges and absorbed at sink nodes.
A Flow Network is a directed graph G =(V,E) with the following properties:

Assumptions made about network flows treated in this chapter:

Flows
A flow f satisfies the following properties: