For this problem, a height-balanced binary tree is defined as a binary tree in which the depth of the two subtrees of every node never differ by more than 1. A common type of binary tree is a binary search tree, in which every node has a value that is greater than or equal to the node values in the left sub-tree, and less than or equal to the node values in the right sub-tree. It is a balanced binary search tree – the heights of given node’s children trees don’t differ more than 1 (with height of node = max of its children node + 1). Balanced Tree – AVL Tree in Java In this tutorial, we’re gonna look at AVL Tree Data Structure. Search A binary tree is a recursive data structure where each node can have 2 children at most. Objective: Given a binary tree, Find whether if a Given Binary Tree is Balanced? So, An empty binary tree is always height-balanced. Given a binary tree, determine if it is height-balanced. Analysis. Example: Binary search tree is a special type of binary tree which have following properties. The binary search trees (BST) are binary trees, who has lesser element at left child, and greater element at right child. Also, the concepts behind a binary search tree are explained in the post Binary Search Tree. It is depending on the height of the binary search tree. Input: A Binary Tree Output: True and false based on whether tree is balanced or not. A non-empty binary tree is height-balanced if: Its left subtree is height-balanced. The making of a node and traversals are explained in the post Binary Tree in Java: Traversals, Finding Height of Node. Nodes which are smaller than root will be in left subtree. It should not have duplicate nodes; Both left and right subtree also should be binary search tree. What is balanced Tree: A balanced tree is a tree in which difference between heights of sub-trees of any node in the tree is not greater than one. Its right subtree is height-balanced. The definition of a height-balanced binary tree is: Binary tree in which the height of the two subtrees of every node never differ by more than 1. Java Solution The average time complexity for searching elements in BST is O(log n). May 21, 2020 September 16, 2014 by Sumit Jain Binary Tree : A data structure in which we have nodes containing data and two references to other nodes, one on the left and one on the right. Binary Search Tree (BST) Complete Implementation. A balanced binary tree, also referred to as a height-balanced binary tree, is defined as a binary tree in which the height of the left and right subtree of any node differ by not more than 1. Nodes which are greater than root will be right subtree. This is a typical tree problem that can be solve by using recursion. Here, we will focus on the parts related to the binary search tree like inserting a node, deleting a node, searching, etc. To learn more about the height of a tree/node, visit Tree Data Structure.Following are the conditions for a height-balanced binary tree: Here we will see what is the balanced binary search tree.