📜 Theorem, law or theory

Kuratowski's theorem

Teorema de Kuratowski

Date
1930 · confidence medium
Place
Warsaw, Poland
Credited to
Kazimierz Kuratowski y Lev Pontriaguin
Field
Knowledge & symbols

What was discovered

Graph theory theorem characterizing planar graphs by the absence of subgraphs homeomorphic to K5 or K3,3, proved by Kazimierz Kuratowski (and, independently, by Lev Pontryagin).

What it led to

  • Foundation of graph planarity-testing algorithms
  • Applications in printed-circuit and network design
  • Development of modern topological graph theory
  • Key tool in graph minor theory

Links

Sources✓ verified 2026-09-28