Statements (18)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
gptkb:Tutte's_theorem
|
gptkbp:appliesTo |
finite undirected graphs
|
gptkbp:concerns |
perfect matching
factor theorem |
gptkbp:field |
graph theory
|
https://www.w3.org/2000/01/rdf-schema#label |
Tutte theorem
|
gptkbp:influenced |
matching theory
|
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:sentence |
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 |
theoretical computer science
combinatorics |
gptkbp:bfsParent |
gptkb:Tutte–Berge_formula
|
gptkbp:bfsLayer |
6
|