Calkin–Wilf tree

GPTKB entity

Statements (27)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
infinite binary tree
gptkbp:describes enumeration of positive rational numbers
gptkbp:field gptkb:mathematics
number theory
gptkbp:hasNode rational number
https://www.w3.org/2000/01/rdf-schema#label Calkin–Wilf tree
gptkbp:introducedIn 2000
gptkbp:inventedBy gptkb:Herbert_Wilf
gptkb:Neil_Calkin
gptkbp:leftChildRule n/d → n/(n+d)
gptkbp:numberInSeries gptkb:Calkin–Wilf_sequence
gptkbp:property every positive rational number appears exactly once
tree is binary
tree is complete
tree is infinite
tree is ordered
tree is rooted
gptkbp:publishedIn gptkb:Mathematics_Magazine
gptkbp:relatedTo gptkb:tree
gptkb:Farey_sequence
gptkb:Stern–Brocot_tree
enumeration of rationals
gptkbp:rightChildRule n/d → (n+d)/d
gptkbp:rootNode 1/1
gptkbp:bfsParent gptkb:Stern–Brocot_tree
gptkbp:bfsLayer 6