Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Tutte's_1-factor_theorem
|
| gptkbp:appliesTo |
finite undirected graphs
|
| gptkbp:concerns |
perfect matching
|
| gptkbp:field |
graph theory
|
| gptkbp:generalizes |
gptkb:Hall's_marriage_theorem
|
| gptkbp:namedAfter |
gptkb:W._T._Tutte
|
| gptkbp:publicationYear |
1947
|
| gptkbp:publishedIn |
gptkb:Canadian_Journal_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Hall's_marriage_theorem
gptkb:Petersen's_theorem |
| gptkbp:state |
A finite graph has a perfect matching if and only if for every subset S of its vertices, the number of odd components of the graph minus S is at most |S|.
|
| gptkbp:usedIn |
gptkb:combinatorics
gptkb:theoretical_computer_science matching theory |
| gptkbp:bfsParent |
gptkb:William_Thomas_Tutte
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tutte's theorem
|