📜 Theorem, law or theory

Max-flow min-cut theorem

Teorema de flujo máximo y corte mínimo

Date
1956 · confidence medium
Place
Santa Monica, California, United States
Credited to
Lester Ford and Delbert Fulkerson (1956); independently, Peter Elias, Amiel Feinstein, and Claude Shannon
Field
Knowledge & symbols

What was discovered

A graph-theory theorem stating that the maximum flow between a source and a sink in a network equals the total weight of a minimum cut separating them, proved by Ford and Fulkerson at the RAND Corporation.

What it led to

  • Network optimization and logistics algorithms
  • Computational complexity theory
  • Telecommunications network design
  • Operations research
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Sources✓ verified 2026-09-28