Difference between Binary Tree and Binary Search Tree Last Updated : 14 Sep, 2024 Comments Improve Suggest changes Like Article Like Report Binary Tree Data Structure:A tree whose elements have at most 2 children is called a binary tree. Since each element in a binary tree can have only 2 children, we typically name them the left and right children. Binary Tree Data Structure Binary Search Tree Data Structure (BST):A binary search tree is a hierarchical data structure where each node has at most two children, with values ordered such that left child values are smaller and right child values are greater.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 right subtree each must also be a binary search tree.There must be no duplicate nodes.Binary Search Tree Data Structure Difference between Binary Tree and Binary Search Tree: FeatureBinary TreeBinary Search Tree ( BST )DefinitionA tree data structure where each node can have at most two children nodes.A binary tree in which for each node, all elements in its left subtree are less than the node, and all elements in its right subtree are greater than the node.Node InsertionNodes are inserted without any specific order.Nodes are inserted according to their values, maintaining the BST property.Node Lookup/SearchNo specific order; full tree traversal may be needed to find a node.Efficient lookup using the binary search property, reducing the search space by half at each step.Time Complexity (average case)O(n) for insertion, deletion, and search.O(h) for insertion, deletion, and search, where h is height.Space ComplexityO(n) as it only depends on the number of nodes in the tree.O(n) as it only depends on the number of nodes in the tree.ApplicationUsed in various tree-related algorithms and data structures.Ideal for applications where efficient search, insertion, and deletion are required, such as in databases and dictionaries Comment More infoAdvertise with us Next Article Difference between Binary Tree and Binary Search Tree raiayush402 Follow Improve Article Tags : Tree Binary Search Tree Advanced Data Structure Computer Subject Computer Organization & Architecture Data Structures Difference Between DSA +4 More Practice Tags : Advanced Data StructureBinary Search TreeData StructuresTree Similar Reads Introduction to Tree Data Structure Tree data structure is a hierarchical structure that is used to represent and organize data in the form of parent child relationship. The following are some real world situations which are naturally a tree.Folder structure in an operating system.Tag structure in an HTML (root tag the as html tag) or 15+ min read Tree Traversal Techniques Tree Traversal techniques include various ways to visit all the nodes of the tree. Unlike linear data structures (Array, Linked List, Queues, Stacks, etc) which have only one logical way to traverse them, trees can be traversed in different ways. In this article, we will discuss all the tree travers 7 min read Applications of tree data structure A tree is a type of data structure that represents a hierarchical relationship between data elements, called nodes. The top node in the tree is called the root, and the elements below the root are called child nodes. Each child node may have one or more child nodes of its own, forming a branching st 4 min read Advantages and Disadvantages of Tree Tree is a non-linear data structure. It consists of nodes and edges. A tree represents data in a hierarchical organization. It is a special type of connected graph without any cycle or circuit.Advantages of Tree:Efficient searching: Trees are particularly efficient for searching and retrieving data. 2 min read Difference between an array and a tree Array:An array is a collection of homogeneous(same type) data items stored in contiguous memory locations. For example, if an array is of type “intâ€, it can only store integer elements and cannot allow the elements of other types such as double, float, char, etc. The array is a linear data structure 3 min read Inorder Tree Traversal without Recursion Given a binary tree, the task is to perform in-order traversal of the tree without using recursion.Example:Input:Output: 4 2 5 1 3Explanation: Inorder traversal (Left->Root->Right) of the tree is 4 2 5 1 3Input:Output: 1 7 10 8 6 10 5 6Explanation: Inorder traversal (Left->Root->Right) o 8 min read Types of Trees in Data Structures A tree in data structures is a hierarchical data structure that consists of nodes connected by edges. It is used to represent relationships between elements, where each node holds data and is connected to other nodes in a parent-child relationship.Types of Trees TreeThe main types of trees in data s 4 min read Generic Trees (N-ary Tree)Introduction to Generic Trees (N-ary Trees)Generic trees are a collection of nodes where each node is a data structure that consists of records and a list of references to its children(duplicate references are not allowed). Unlike the linked list, each node stores the address of multiple nodes. Every node stores address of its children and t 5 min read Inorder traversal of an N-ary TreeGiven an N-ary tree containing, the task is to print the inorder traversal of the tree. Examples: Input: N = 3  Output: 5 6 2 7 3 1 4Input: N = 3  Output: 2 3 5 1 4 6 Approach: The inorder traversal of an N-ary tree is defined as visiting all the children except the last then the root and finall 6 min read Preorder Traversal of an N-ary TreeGiven an N-ary Tree. The task is to write a program to perform the preorder traversal of the given n-ary tree. Examples: Input: 3-Array Tree 1 / | \ / | \ 2 3 4 / \ / | \ 5 6 7 8 9 / / | \ 10 11 12 13 Output: 1 2 5 10 6 11 12 13 3 4 7 8 9 Input: 3-Array Tree 1 / | \ / | \ 2 3 4 / \ / | \ 5 6 7 8 9 O 14 min read Iterative Postorder Traversal of N-ary TreeGiven an N-ary tree, the task is to find the post-order traversal of the given tree iteratively.Examples: Input: 1 / | \ 3 2 4 / \ 5 6 Output: [5, 6, 3, 2, 4, 1] Input: 1 / \ 2 3 Output: [2, 3, 1] Approach:We have already discussed iterative post-order traversal of binary tree using one stack. We wi 10 min read Level Order Traversal of N-ary TreeGiven an N-ary Tree. The task is to print the level order traversal of the tree where each level will be in a new line. Examples: Input: Image Output: 13 2 45 6Explanation: At level 1: only 1 is present.At level 2: 3, 2, 4 is presentAt level 3: 5, 6 is present Input: Image Output: 12 3 4 56 7 8 9 10 11 min read ZigZag Level Order Traversal of an N-ary TreeGiven a Generic Tree consisting of n nodes, the task is to find the ZigZag Level Order Traversal of the given tree.Note: A generic tree is a tree where each node can have zero or more children nodes. Unlike a binary tree, which has at most two children per node (left and right), a generic tree allow 8 min read Binary TreeIntroduction to Binary TreeBinary Tree is a non-linear and hierarchical data structure where each node has at most two children referred to as the left child and the right child. The topmost node in a binary tree is called the root, and the bottom-most nodes are called leaves. Introduction to Binary TreeRepresentation of Bina 15+ min read Properties of Binary TreeThis post explores the fundamental properties of a binary tree, covering its structure, characteristics, and key relationships between nodes, edges, height, and levelsBinary tree representationNote: Height of root node is considered as 0. Properties of Binary Trees1. Maximum Nodes at Level 'l'A bina 4 min read Applications, Advantages and Disadvantages of Binary TreeA binary tree is a tree that has at most two children for any of its nodes. There are several types of binary trees. To learn more about them please refer to the article on "Types of binary tree" Applications:General ApplicationsDOM in HTML: Binary trees help manage the hierarchical structure of web 2 min read Binary Tree (Array implementation)Given an array that represents a tree in such a way that array indexes are values in tree nodes and array values give the parent node of that particular index (or node). The value of the root node index would always be -1 as there is no parent for root. Construct the standard linked representation o 6 min read Complete Binary TreeWe know a tree is a non-linear data structure. It has no limitation on the number of children. A binary tree has a limitation as any node of the tree has at most two children: a left and a right child. What is a Complete Binary Tree?A complete binary tree is a special type of binary tree where all t 7 min read Perfect Binary TreeWhat is a Perfect Binary Tree? A perfect binary tree is a special type of binary tree in which all the leaf nodes are at the same depth, and all non-leaf nodes have two children. In simple terms, this means that all leaf nodes are at the maximum depth of the tree, and the tree is completely filled w 4 min read Ternary TreeCreate a Doubly Linked List from a Ternary TreeGiven a ternary tree, create a doubly linked list out of it. A ternary tree is just like a binary tree but instead of having two nodes, it has three nodes i.e. left, middle, and right. The doubly linked list should hold the following properties – The left pointer of the ternary tree should act as pr 12 min read Like