Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
labeled trees
|
| gptkbp:category |
combinatorics
|
| gptkbp:compatibleWith |
unlabeled trees
|
| gptkbp:field |
graph theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Prüfer sequence
|
| gptkbp:introducedIn |
1918
|
| gptkbp:inverseProcess |
tree reconstruction from sequence
|
| gptkbp:isBijectiveWith |
labeled trees
|
| gptkbp:length |
n-2 for a tree with n vertices
|
| gptkbp:namedAfter |
gptkb:Heinz_Prüfer
|
| gptkbp:numberOfSequences |
n^(n-2) for n vertices
|
| gptkbp:relatedTo |
gptkb:Cayley's_formula
|
| gptkbp:sequenceElements |
vertex labels
|
| gptkbp:usedFor |
counting spanning trees
encoding labeled trees |
| gptkbp:bfsParent |
gptkb:Cayley's_formula
|
| gptkbp:bfsLayer |
6
|