Network Flows and Matchings

Max-flow min-cut, bipartite matching, and matroid intersections.


foundation tier

Network Flows and Matchings. Max-flow min-cut, bipartite matching, and matroid intersections. This page collects canonical references that organise the subject and provide entry points to its main techniques.

Foundations and canonical references

The standard treatments of network flows and matchings approach the subject from complementary angles. Ahuja, Network Flows: Theory, Algorithms, and Applications (1993) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for network flows and matchings include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 1993
    Network Flows: Theory, Algorithms, and Applications
    ahuja-1993, magnanti-1993, orlin-1993

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