Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Polygon
|
| gptkbp:alsoKnownAs |
gptkb:Birkhoff_polytope
|
| gptkbp:definedIn |
convex hull of n x n permutation matrices
|
| gptkbp:dimensions |
(n-1)^2 for n x n matrices
|
| gptkbp:facetDescription |
doubly stochastic matrices
|
| gptkbp:form |
discrete mathematics
optimization polyhedral combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
assignment polytope
|
| gptkbp:namedAfter |
gptkb:Garrett_Birkhoff
|
| gptkbp:property |
all vertices are integral
each row and column sum to 1 faces correspond to partial assignments |
| gptkbp:relatedTo |
gptkb:Birkhoff–von_Neumann_theorem
combinatorial optimization linear programming |
| gptkbp:studiedBy |
1946
|
| gptkbp:usedIn |
assignment problem
transportation problem |
| gptkbp:vertices |
permutation matrices
|
| gptkbp:bfsParent |
gptkb:Birkhoff_polytope
|
| gptkbp:bfsLayer |
6
|