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

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.
How to Search in a Binary Search Tree (BST) – Step by Step Explanation with Examples

How to Search in a Binary Search Tree (BST) – Step by Step Explanation with Examples

Learn how to search in a Binary Search Tree. We demonstrate searching for existing and non-existing values, explain why BST search is O(log n) on average, and show how poor data ordering can turn your tree into a slow linear structure similar to a linked list. Includes discussion of tree height and balanced vs unbalanced BSTs.