Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
combinatorics
|
| gptkbp:application |
computer science
combinatorics lattice path enumeration |
| gptkbp:countedBy |
Motzkin numbers
|
| gptkbp:definedIn |
lattice path from (0,0) to (n,0) with steps (1,1), (1,0), (1,-1) that never goes below the x-axis
|
| gptkbp:generalizes |
gptkb:Dyck_path
|
| https://www.w3.org/2000/01/rdf-schema#label |
Motzkin path
|
| gptkbp:length |
n (for some non-negative integer n)
|
| gptkbp:namedAfter |
gptkb:Theodore_Motzkin
|
| gptkbp:neverGoesBelow |
x-axis
|
| gptkbp:relatedTo |
gptkb:Motzkin_number
gptkb:Dyck_path |
| gptkbp:step |
down step (1,-1)
level step (1,0) up step (1,1) |
| gptkbp:usedIn |
enumerative combinatorics
|
| gptkbp:bfsParent |
gptkb:T._S._Motzkin
|
| gptkbp:bfsLayer |
6
|