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Trees 4: AVL Trees

Section 4.4. Trees 4: AVL Trees. Motivation. When building a binary search tree, what type of trees would we like? Example: 3, 5, 8, 20, 18, 13, 22. 3. 5. 13. 8. 20. 5. 13. 18. 3. 8. 18. 22. 20. 22. Motivation.

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AVL Trees

AVL Trees. CSE, POSTECH. Balanced Binary Search Trees. If the height of a binary tree is always O(log n), we can guarantee O(log n) performance for each search tree operation Trees with a worst-case height of O(log n) are called balanced trees

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AVL Trees ( ????? )

6. v. 8. 3. z. 4. AVL Trees ( ????? ). AVL Tree Definition. An AVL Tree is a binary search tree such that for every internal node v of T, the heights of the children of v can differ by at most 1 Proposed by G. M. Adelson-Velsky & E. M. Landisin 1962. Height. Quiz!.

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Trees 4: AVL Trees

AVL Trees

AVL Trees ( ????? )