Tree rotations - PowerPoint PPT Presentation

Advanced Data Structures and Implementation

Advanced Data Structures and Implementation. Top-Down Splay Trees Red-Black Trees Top-Down Red Black Trees Top-Down Deletion Deterministic Skip Lists AA-Trees Treaps k-d Trees Pairing Heaps. Top-Down Splay Tree.

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AVL Tree: Balanced Binary Search Tree

AVL Tree: Balanced Binary Search Tree. 6. 2. 8. 4. 9. 1. 3. AVL Tree: Balanced Binary Search Tree. BST Property At every node X, values in left subtree are smaller than the value in X, and values in right subtree are larger than the value in X. 6. 2. 8. 4. 9. 1. 3.

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Recitation 9

Recitation 9. Tree Rotations and AVL Trees. BSTs. Review: Binary Search Tree (BST). 1. ideal case. 4. 2. 2. 5. 3. worst case : O(n) lookup O(n) insertion O(n) deletion. 4. 1. 3. 5. x &lt; 4. x &gt; 4. BSTs. Make BSTs balanced!. Balanced BST. worst case : O(log n) lookup

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