📜 Theorem, law or theory

Fáry's theorem

Teorema de Fáry

Date
1936 (Wagner) / 1948 (Fáry) / 1951 (Stein) · confidence high
Place
Cologne, North Rhine-Westphalia, Germany
Credited to
Klaus Wagner, István Fáry and Sherman K. Stein, independently
Field
Knowledge & symbols

What was discovered

A graph-theory theorem stating that every simple planar graph can be drawn without crossings using only straight line segments for its edges; proved independently by Klaus Wagner (1936), István Fáry (1948) and Sherman K. Stein (1951).

What it led to

  • Fundamental result in graph drawing and computational geometry
  • Basis for algorithms producing straight-line planar graph layouts
  • Used in VLSI design and graph visualization software

Links

Sources✓ verified 2026-09-28