AVL tree

E1045598

An AVL tree is a self-balancing binary search tree data structure that maintains strict height balance to ensure efficient insertion, deletion, and lookup operations.

All labels observed (1)

Label Occurrences
AVL tree canonical 2

How this entity was disambiguated

Statements (51)

Predicate Object
instanceOf data structure ⓘ
self-balancing binary search tree ⓘ
balanceFactorDefinition height(left subtree) - height(right subtree) ⓘ
balanceFactorRange -1 to 1 ⓘ
definedInPublication An algorithm for the organization of information ⓘ
deleteTimeComplexityAverage O(log n) ⓘ
deleteTimeComplexityWorst O(log n) ⓘ
ensures logarithmic height ⓘ
hasOperation delete ⓘ
insert ⓘ
search ⓘ
traversal ⓘ
hasProperty dynamic ⓘ
height-balanced ⓘ
ordered ⓘ
hasRotationType left-right rotation ⓘ
right-left rotation ⓘ
single left rotation ⓘ
single right rotation ⓘ
heightUpperBound 1.44 log2(n+2) - 0.328 ⓘ
insertTimeComplexityAverage O(log n) ⓘ
insertTimeComplexityWorst O(log n) ⓘ
introducedBy Evgenii Landis ⓘ
Georgy Adelson-Velsky ⓘ
introducedInYear 1962 ⓘ
isMoreStrictlyBalancedThan red-black tree ⓘ
isSubtypeOf binary search tree ⓘ
search tree ⓘ
maintainsInvariant balance factor constraint ⓘ
binary search tree order property ⓘ
namedAfter Adelson-Velsky and Landis ⓘ
nodeStores height or balance factor ⓘ
key ⓘ
value ⓘ
rebalancingOperation rotation ⓘ
requiresRebalancingWhen balance factor is less than -1 or greater than 1 ⓘ
searchTimeComplexityAverage O(log n) ⓘ
searchTimeComplexityWorst O(log n) ⓘ
spaceComplexity O(n) ⓘ
supportsTraversalOrder in-order ⓘ
level-order ⓘ
post-order ⓘ
pre-order ⓘ
typicallyHas faster lookups than red-black tree ⓘ
slower insertions than red-black tree ⓘ
usedFor dictionary implementation ⓘ
efficient deletion ⓘ
efficient insertion ⓘ
efficient search ⓘ
in-memory indexing ⓘ
set implementation ⓘ

How these facts were elicited

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

splay tree → relatedTo → AVL tree ⓘ
red-black tree → comparedWith → AVL tree ⓘ