Network flow problem | Computational problems in graph theory

Maximum flow problem

In optimization theory, maximum flow problems involve finding a feasible flow through a flow network that obtains the maximum possible flow rate. The maximum flow problem can be seen as a special case of more complex network flow problems, such as the circulation problem. The maximum value of an s-t flow (i.e., flow from source s to sink t) is equal to the minimum capacity of an s-t cut (i.e., cut severing s from t) in the network, as stated in the max-flow min-cut theorem. (Wikipedia).

Maximum flow problem
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Related pages

Circulation problem | Directed acyclic graph | Discrete mathematics | Flow network | Ford–Fulkerson algorithm | Greatest common divisor | Push–relabel maximum flow algorithm | Bipartite graph | Maximum cardinality matching | Path (graph theory) | Cut (graph theory) | Edmonds–Karp algorithm | Glossary of graph theory | Minimum-cost flow problem | Max-flow min-cut theorem | Linear programming | Breadth-first search | Dinic's algorithm