📜 Theorem, law or theory

Turán's theorem

Teorema de Turán

Date
1941 · confidence low
Place
Hungary
Credited to
Pál Turán
Field
Knowledge & symbols

What was discovered

Turán's theorem, in graph theory, bounds the maximum number of edges an undirected graph can have without containing a complete subgraph of a given size. It was proved by Hungarian mathematician Pál Turán in 1941, and is one of the founding results of extremal graph theory.

What it led to

  • Founding of extremal graph theory
  • Generalizations such as the Erdős–Stone theorem
  • Applications in combinatorics and theoretical computer science

Links

Sources✓ verified 2026-09-28