What is AVL Tree | AVL Tree meaning Last Updated : 15 Mar, 2023 Comments Improve Suggest changes Like Article Like Report An AVL is a self-balancing Binary Search Tree (BST) where the difference between the heights of left and right subtrees of any node cannot be more than one. KEY POINTSIt is height balanced treeIt is a binary search treeIt is a binary tree in which the height difference between the left subtree and right subtree is almost oneHeight is the maximum depth from root to leafCharacteristics of AVL Tree:It follows the general properties of a Binary Search Tree.Each subtree of the tree is balanced, i.e., the difference between the height of the left and right subtrees is at most 1.The tree balances itself when a new node is inserted. Therefore, the insertion operation is time-consumingApplication of AVL Tree:Most in-memory sets and dictionaries are stored using AVL trees.Database applications, where insertions and deletions are less common but frequent data lookups are necessary, also frequently employ AVL trees.In addition to database applications, it is employed in other applications that call for better searching.Most STL implementations of the ordered associative containers (sets, multisets, maps and multimaps) use red-black trees instead of AVL trees.Advantages of AVL Tree:AVL trees can self-balance.It also provides faster search operations.AVL trees also have balancing capabilities with a different type of rotationBetter searching time complexity than other trees, such as the binary Tree.Height must not be greater than log(N), where N is the total number of nodes in the Tree.Disadvantages of AVL Tree:AVL trees are difficult to implementAVL trees have high constant factors for some operations.Maximum & Minimum number of NodesMaximum number of nodes = 2H+1 - 1Minimum number of nodes of height H = min no of nodes of height (H-1) + min no of nodes of height(H-2) + 1 where H(0)=1 H(1)=2 What else can you read?Introduction to AVL TreeInsertion in AVL TreeDeletion in an AVL Tree Comment More infoAdvertise with us Next Article Insertion in an AVL Tree M maverick_vf142 Follow Improve Article Tags : Tree DSA Definitions and Meanings AVL-Tree Practice Tags : AVL-TreeTree Similar Reads AVL Tree Data Structure An AVL tree defined as a self-balancing Binary Search Tree (BST) where the difference between heights of left and right subtrees for any node cannot be more than one. Balance Factor = left subtree height - right subtree heightFor a Balanced Tree(for every node): -1 ≤ Balance Factor ≤ 1Example of an 5 min read What is AVL Tree | AVL Tree meaning An AVL is a self-balancing Binary Search Tree (BST) where the difference between the heights of left and right subtrees of any node cannot be more than one. KEY POINTSIt is height balanced treeIt is a binary search treeIt is a binary tree in which the height difference between the left subtree and r 2 min read Insertion in an AVL Tree AVL tree is a self-balancing Binary Search Tree (BST) where the difference between heights of left and right subtrees cannot be more than one for all nodes. Insertion in an AVL Tree follows the same basic rules as in a Binary Search Tree (BST):A new key is placed in its correct position based on BST 15+ min read Insertion, Searching and Deletion in AVL trees containing a parent node pointer AVL tree is a self-balancing Binary Search Tree (BST) where the difference between heights of left and right subtrees cannot be more than one for all nodes. The insertion and deletion in AVL trees have been discussed in the previous article. In this article, insert, search, and delete operations are 15+ min read Deletion in an AVL Tree We have discussed Insertion of AVL Tree. In this post, we will follow a similar approach for deletion.Steps to follow for deletion. To make sure that the given tree remains AVL after every deletion, we must augment the standard BST delete operation to perform some re-balancing. Following are two bas 15+ min read How is an AVL tree different from a B-tree? AVL Trees: AVL tree is a self-balancing binary search tree in which each node maintain an extra factor which is called balance factor whose value is either -1, 0 or 1. B-Tree: A B-tree is a self - balancing tree data structure that keeps data sorted and allows searches, insertions, and deletions in 1 min read Practice questions on Height balanced/AVL Tree AVL tree is binary search tree with additional property that difference between height of left sub-tree and right sub-tree of any node can’t be more than 1. Here are some key points about AVL trees:If there are n nodes in AVL tree, minimum height of AVL tree is floor(log 2 n). If there are n nodes i 4 min read AVL with duplicate keys Please refer below post before reading about AVL tree handling of duplicates. How to handle duplicates in Binary Search Tree?This is to augment AVL tree node to store count together with regular fields like key, left and right pointers. Insertion of keys 12, 10, 20, 9, 11, 10, 12, 12 in an empty Bin 15+ min read Count greater nodes in AVL tree In this article we will see that how to calculate number of elements which are greater than given value in AVL tree. Examples: Input : x = 5 Root of below AVL tree 9 / \ 1 10 / \ \ 0 5 11 / / \ -1 2 6 Output : 4 Explanation: there are 4 values which are greater than 5 in AVL tree which are 6, 9, 10 15+ min read Difference between Binary Search Tree and AVL Tree Binary Search Tree:A binary Search Tree is a node-based binary tree data structure that has the following properties: The left subtree of a node contains only nodes with keys lesser than the node’s key.The right subtree of a node contains only nodes with keys greater than the node’s key.The left and 2 min read Like