König's theorem

theorem showing that maximum matching and minimum vertex cover are equivalent for bipartite graphs
Intangible theorem Q897769
Press Enter · cited answer in seconds

König's theorem

Summary

König's theorem is a theorem[1]. It draws 148 Wikipedia views per month (theorem category, ranking #205 of 1,306).[2]

Key Facts

  • König's theorem's instance of is recorded as theorem[3].
  • Dénes Kőnig is named after König's theorem[4].
  • König's theorem's part of is recorded as list of theorems[5].
  • König's theorem's Freebase ID is recorded as /m/0dn1zp[6].
  • König's theorem's proved by is recorded as Dénes Kőnig[7].
  • König's theorem's Encyclopædia Britannica Online ID is recorded as topic/Konigs-theorem[8].
  • König's theorem's defining formula is recorded as \nu(G)=\tau(G)[9].
  • König's theorem's MathWorld ID is recorded as Koenig-EgevaryTheorem[10].
  • König's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • König's theorem's in defining formula is recorded as \nu(G)[12].
  • König's theorem's in defining formula is recorded as \tau(G)[13].
  • König's theorem's in defining formula is recorded as G[14].

Why It Matters

König's theorem draws 148 Wikipedia views per month (theorem category, ranking #205 of 1,306).[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[15] It is known by 12 alternative names across languages and contexts.[16]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . homepages.cwi.nl. Retrieved . homepages.cwi.nl. Provenance: wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . Wikidata sitelinks. wikidata.org.
  3. [16] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). König's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/k-nig-s-theorem
MLA “König's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/k-nig-s-theorem.
BibTeX @misc{4ortxyz_k-nig-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{König's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/k-nig-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): König's theorem — https://4ort.xyz/entity/k-nig-s-theorem (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/k-nig-s-theorem · Last refreshed: