Balanced Binary Tree definition & meaning in DSA Last Updated : 26 Apr, 2023 Comments Improve Suggest changes Like Article Like Report Balanced binary tree is defined as a binary tree data structure where there is no more than one height difference between the left and right subtrees of any given node. Mathematically Height of left subtree - Height of right subtree ≤1 Balanced and Unbalanced Binary TreeProperties of Balanced Binary Tree: A balanced binary tree has a height that is logarithmic in the number of nodes, or O(log n), where n is the total number of nodes. Search, insertion, and deletion operations can be carried out in effectively because the height of the tree does not increase abruptly as the number of nodes rises.The height difference between a node's left and right subtrees determines a node's balance factor in a balanced binary tree. The balance factor of each node is always at most 1. How to identify a height-balanced Binary Tree? Using Recursion we can identify whether the tree is balanced binary tree or not by calculating the height of the left and right subtree for each node and checking the condition and then calling the recursive function till we reach the base case. To learn more about the identification process and implementation of the same, refer to this article. What else can you read?Introduction to Trees - Data Structure and Algorithm TutorialsIntroduction to Recursion - Data Structure and Algorithm TutorialsIntroduction to Height Balanced Binary Tree Comment More infoAdvertise with us Next Article Balanced Binary Tree definition & meaning in DSA N nikhilgarg527 Follow Improve Article Tags : Tree DSA Definitions and Meanings Binary Tree Practice Tags : Tree Similar Reads Red-Black Tree definition & meaning in DSA A red-black tree is a self-balancing binary search tree in which each node of the tree has an color, which can either be red or black. Example of Red-Black TreeCharacteristics of Red Black Tree:The root node is always black and each node can be either black or red.Every leaf node of the red-black tr 2 min read Generic Tree meaning & definition in DSA A generic tree (or N-ary Tree) is a type of tree data structure where each node can have at most N number of children where N can be any integer. Example of Generic TreeCharacteristics of Generic Tree:Each node can have zero or more child nodes.A node can have N number of children where N can be any 2 min read Disjoint Set meaning and definition in DSA Disjoint Set is a data structure that keeps track of a set of elements partitioned into a number of disjoint subsets and it is used to efficiently solve problems that involve grouping elements into sets and performing operations on them. Characteristics of the Disjoint Set:It keeps a set partitioned 2 min read What is Tree | Tree Definition & Meaning in DSA A tree is defined as a hierarchical data structure in which the elements (known as nodes) are linked together via edges such that there is only one path between any two node of the tree. Tree Data StructureProperties of Trees:Number of edges: An edge can be defined as the connection between two node 4 min read Introduction to Height Balanced Binary Tree A height-balanced binary tree is defined as a binary tree in which the height of the left and the right subtree of any node differ by not more than 1. AVL tree, red-black tree are examples of height-balanced trees. Height Balanced treeConditions for Height-Balanced Binary Tree: Following are the con 5 min read Balanced Binary Tree in C++ A Balanced Binary Tree, also known as a height-balanced binary tree, is a binary tree in which the height of every node's left and right subtrees differs by at most one. This balance condition ensures that the tree maintains a logarithmic height, which in turn guarantees O(log n) time complexity for 8 min read Ternary Search Tree meaning & definition in DSA Ternary Search Tree is defined as a special trie data structure where the child nodes of a standard trie are ordered as a binary search tree where each node can have at most three children and the left, middle and right subtrees of a node contain values that are less than, equal or greater than the 3 min read Graph definition & meaning in DSA A Graph is a non-linear data structure consisting of vertices and edges where two vertices are connected by an edge. Example of GraphProperties of a Graph:Vertices (nodes): The points where edges meet in a graph are known as vertices or nodes. A vertex can represent a physical object, concept, or ab 4 min read Balanced Binary Tree or Not Given a binary tree, determine if it is height-balanced. A binary tree is considered height-balanced if the absolute difference in heights of the left and right subtrees is at most 1 for every node in the tree.Examples:Input:Output: TrueExplanation: The height difference between the left and right s 15 min read Sum of specially balanced nodes from a given Binary Tree Given a Binary Tree, the task is to find the sum of all the specially balanced nodes in the given Binary Tree. A specially balanced node in a Binary Tree contains the sum of nodes of one subtree(either left or right) as even and the sum of the other subtree as odd.The nodes having only one child or 13 min read Like