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AVL tree (Definition)

An AVL tree is a balanced binary search tree where the height of the two subtrees (children) of a node differs by at most one. Look-up, insertion, and deletion are $O( \ln{n})$ where $n$ is the number of nodes in the tree.

The structure is named for the inventors, Adelson-Velskii and Landis (1962).




"AVL tree" is owned by PrimeFan. [ full author list (2) | owner history (2) ]
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Cross-references: structure, tree, number, node, children, height, binary search tree, balanced
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This is version 6 of AVL tree, born on 2003-02-01, modified 2007-08-15.
Object id is 3956, canonical name is AVLTree.
Accessed 4198 times total.

Classification:
AMS MSC05C05 (Combinatorics :: Graph theory :: Trees)

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