Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:mathematical_concept |
| gptkbp:appliesTo |
undirected graphs
|
| gptkbp:canBe |
test existence of perfect matching in polynomial time (randomized)
|
| gptkbp:diagonal_entries |
0
|
| gptkbp:entries_are |
indeterminates or variables
|
| gptkbp:entry_(i,j) |
variable x_{ij} if edge exists, 0 otherwise
|
| gptkbp:entry_(j,i) |
-x_{ij} if edge exists, 0 otherwise
|
| gptkbp:heldBy |
square matrix
skew-symmetric matrix |
| https://www.w3.org/2000/01/rdf-schema#label |
Tutte matrix
|
| gptkbp:introduced |
1947
|
| gptkbp:namedAfter |
gptkb:W._T._Tutte
|
| gptkbp:relatedTo |
gptkb:Pfaffian
determinant |
| gptkbp:size |
equal to number of vertices in the graph
|
| gptkbp:used_in |
gptkb:algebraic_graph_theory
gptkb:algorithmic_graph_theory graph theory randomized algorithms for matching |
| gptkbp:usedFor |
finding perfect matchings in graphs
|
| gptkbp:bfsParent |
gptkb:Bill_Tutte
|
| gptkbp:bfsLayer |
5
|