AVL Tree Visualization

Instructions

Insert a Numerical Value into the text bar, by pressing the insert button the value will be inserted below into the AVL tree.

Description

An AVL tree is a type of self-balancing binary search tree (BST). It ensures that the tree remains approximately balanced at all times, which keeps operations like insertion, deletion, and search very efficient as they are all in O(log n) time.



An AVL tree is a self-balancing binary search tree where the difference in height between the left and right subtrees of any node, known as the balance factor, is at most one. This property ensures that the tree remains approximately balanced at all times, allowing for efficient operations. When a node is inserted or deleted and the balance factor becomes invalid (greater than 1 or less than -1), the tree performs rotations—left, right, left-right, or right-left—to restore balance. AVL trees guarantee O(log n) time complexity for search, insertion, and deletion operations, making them ideal for applications like databases and memory management where fast and frequent updates are critical.