Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
matroids
|
| gptkbp:field |
matroid theory
combinatorics |
| gptkbp:hasPartialProofFor |
small values of n
vector spaces over fields of characteristic zero |
| gptkbp:hasPartialResults |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rota's basis conjecture
|
| gptkbp:namedAfter |
gptkb:Gian-Carlo_Rota
|
| gptkbp:proposedBy |
gptkb:Gian-Carlo_Rota
|
| gptkbp:relatedTo |
gptkb:Combinatorial_geometry
gptkb:Latin_squares basis exchange property |
| gptkbp:sentence |
Given n bases of a rank-n matroid, it is possible to arrange their elements into an n x n grid so that each row is a basis and each column is a basis.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1989
|
| gptkbp:bfsParent |
gptkb:Gian-Carlo_Rota
|
| gptkbp:bfsLayer |
6
|