Removing a node from an AVL tree works the same way as in BST. In addition to removing the node, we will also verify whether the tree is still balanced after the removal, and if not, we will apply the rotation operations as needed.
The following code removes a node from an AVL tree:
removeNode(node, key) { node = super.removeNode(node, key); // {1} if (node == null) { return node; // null, no need to balance } // verify if tree is balanced const balanceFactor = this.getBalanceFactor(node); // {2} if (balanceFactor === BalanceFactor.UNBALANCED_LEFT) { // {3} const balanceFactorLeft = this.getBalanceFactor(node.left); // {4} if ( balanceFactorLeft === BalanceFactor.BALANCED || balanceFactorLeft === BalanceFactor.SLIGHTLY_UNBALANCED_LEFT ...
