How is an AVL tree different from a B-tree? Last Updated : 26 Sep, 2022 Comments Improve Suggest changes Like Article Like Report 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 O(log N) time. Difference between AVL Tree and B-Tree:S.No. AVL Trees B-Tree 1 It is a self-balancing binary search treeIt is a multi-way tree(N - ary tree).2 Every node contains at most 2 child nodesIn this tree, nodes can have multiple child nodes3 It has a balance factor whose value is either -1, 0, or 1. Balance factor = (height of left subtree)-(height of right subtree) or Balance factor = (height of right subtree)-(height of left subtree) B-Tree is defined by the term minimum degree ‘t‘. The value of ‘t‘ depends upon disk block size.Every node except the root must contain at least t-1 keys. The root may contain a minimum of 1 key.4 AVL tree has a height of log(N) (Where N is the number of nodes).B-tree has a height of log(M*N) (Where ‘M’ is the order of tree and N is the number of nodes). Comment More infoAdvertise with us Next Article Practice questions on Height balanced/AVL Tree H himanshuparihar1600 Follow Improve Article Tags : Tree DSA Practice Tags : Tree 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