Deletion of a node from an avl tree, Data Structure & Algorithms

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For AVL trees the deletion algorithm is a little more complicated as there are various extra steps involved in the deletion of node. If the node is not a leaf node, then it contains at least one child. Then the node has to be swapped with either its in-order successor or predecessor. Once the node has been swapped out, we can remove it.

If originally a deletion node was a leaf node, then it can be removed simply.

As done in insertion, we traverse back up the path to the root node, verifying the balance of all nodes along with the path. If unbalanced, then the respective node is found and suitable rotation is performed to balance that node.


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