Flows represent network transportation problems from "summary" of Introduction to Graph Theory by Douglas Brent West
Flows in a graph can be interpreted as solutions to transportation problems on a network. This concept is particularly useful in situations where goods or information need to be moved efficiently from one point to another. By assigning flow values to the edges of a graph, we can model the movement of resources through a network in a structured and systematic way. The flow in a network must satisfy certain constraints in order to be a valid solution to a transportation problem. For example, the amount of flow entering a node must equal the amount of flow exiting the node, ensuring that resources are conserved throughout the network. Additionally, the flow on each edge must not exceed the capacity of that edge, preventing congestion and bottlenecks in the transportat...
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