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## Load Comments.

Mar 11, Let w be the node to be deleted. 1) Perform standard BST delete for w. 2) Starting from w, travel up and find the first unbalanced node. Let z be the first unbalanced node, y be the larger height child of z, and x be the larger height child of y.

### Advanced data structures.

Note that the Estimated Reading Time: 6 mins. The remove method for the AVL tree remove in Java: I have high lighted the re-balance calls / ====================================================== This is the SAME remove method as BST tree, but with rebalance calls inserted after a deletion to rebalance the BST.

Deletion in AVL Tree. Deleting a node from an AVL tree is similar to that in a binary search tree. Deletion may disturb the balance factor of an AVL tree and therefore the tree needs to be rebalanced in order to maintain the AVLness. For this purpose, we need to perform rotations.

The two types of rotations are L rotation and R rotation. Procedure AVL_REMOVE(X) / Step 1 / 1. Let ptr, p be a reference to a Node. 2. ptr = find(X); // The find method returns a reference to the node with X // if X is in the tree, or null otherwise. 3. If ptr is not null, 4. Decrement elementCount; / Special case when the root is deleted / 5.

If ptr == root 6. May easy to clean cat trees, An AVL Tree does not require a parent link but my implementation does in the updateHeight method and I also use the parent link to balance up the tree on add /remove. – Justin May 27 '12 at