Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
bipartite graphs
|
| gptkbp:field |
graph theory
|
| gptkbp:namedAfter |
gptkb:Dénes_Kőnig
|
| gptkbp:publicationYear |
1931
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Kőnig–Egerváry_theorem
maximum matching minimum vertex cover Hall's Marriage Theorem |
| gptkbp:sentence |
In any bipartite graph, the size of the maximum matching equals the size of the minimum vertex cover.
|
| gptkbp:usedIn |
gptkb:combinatorics
gptkb:theoretical_computer_science optimization |
| gptkbp:bfsParent |
gptkb:Vertex_Cover
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
König's Theorem
|