📜 Theorem, law or theory

Tutte theorem

Teorema de Tutte

Date
1947 · confidence high
Place
Cambridge, England, United Kingdom
Credited to
W. T. Tutte
Field
Knowledge & symbols

What was discovered

A graph-theory theorem characterizing finite undirected graphs that admit a perfect matching, via a condition on the number of odd-size components when any subset of vertices is removed; a special case of the Tutte-Berge formula.

What it led to

  • Foundational result in matching theory
  • Basis for polynomial-time algorithms testing for perfect matchings
  • Influenced combinatorial optimization and network flow theory

Links

Sources✓ verified 2026-09-28