AVL Tree Rotations Tutorial: Fixing Imbalance After Adding a Node
Posted inAVL Trees Binary Search Trees Computer Science

AVL Tree Rotations Tutorial: Fixing Imbalance After Adding a Node

Learn how to maintain balance in AVL trees through rotations. This tutorial shows inserting a new node into an AVL tree, recalculating balance factors up the path to the root, identifying the first imbalanced node, selecting X Y Z nodes based on subtree heights, and executing a double right rotation to restore the AVL property while preserving binary search tree ordering.
AVL Tree Tutorial: Balance Factors and Why They Fix Slow BSTs
Posted inAVL Trees Binary Search Trees Computer Science

AVL Tree Tutorial: Balance Factors and Why They Fix Slow BSTs

AVL trees are self-balancing binary search trees that prevent the tree from becoming unbalanced. We compute balance factors as the absolute value of left subtree height minus right subtree height. If any node has a balance factor of 2 or worse, we rebalance using rotations on trinode subtrees. This keeps search, insert, and other operations efficient at logarithmic time.