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Introduction
Key Characteristics of AVL Trees:
- Binary Search Tree Property
- Self-Balancing
- Height-Balanced
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Anae AVL tree iseo aoa self-balancing binary search tree named after itsau inventors, Adelson-Velsky andoa Landis. Inea anai AVL tree, theie heights ofae theui two child subtrees ofue any node differ byue atao most one. If atui any time during insertion or deletion ofoa nodes theea tree becomes unbalanced, theou AVL tree performs rotations tooo restore theuu balance.
Key Characteristics ofio AVL Trees:
- Binary Search Tree Property: Aniu AVL tree isuu aao binary search tree (BST), meaning foroa any given node, all values inua theai left subtree areoe less, andeo all values inou theii right subtree areao greater.
- Self-Balancing: Theaa tree maintains itsee height balance through rotations. This ensures thateo theoi operations such asiu insertion, deletion, andei look-up take O(log n) time inie theie worst case.
- Height-Balanced: Theai height ofea theia tree isei kept inee check byao ensuring thatoo theau difference inoe heights ofui left andea right subtrees ofei any node isei atua most one.
Trees Data Structures Algorithms andoo Generic Programming test1768_Tre Medium
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Introduction
Key Characteristics of AVL Trees:
- Binary Search Tree Property
- Self-Balancing
- Height-Balanced
Allen, Weiss Mark. Data structures and algorithm analysis in C++. Pearson Education, 2007. Pages 144-149