Binary Search Tree (original) (raw)

• Binary Search Tree A Binary Search Tree (or BST) is a data structure used in computer science for organizing and storing data in a sorted manner. Each node in a Binary Search Tree has at most two children, a left child and a right child, with the left child containing values less than the parent node and the right chi 3 min read
• Introduction to Binary Search Tree Binary Search Tree is a data structure used in computer science for organizing and storing data in a sorted manner. Binary search tree follows all properties of binary tree and for every nodes, its left subtree contains values less than the node and the right subtree contains values greater than the 3 min read
• Applications of BST Binary Search Tree (BST) is a data structure that is commonly used to implement efficient searching, insertion, and deletion operations along with maintaining sorted sequence of data. Please remember the following properties of BSTs before moving forward.The left subtree of a node contains only node 3 min read
• Applications, Advantages and Disadvantages of Binary Search Tree A Binary Search Tree (BST) is a data structure used to storing data in a sorted manner. Each node in a Binary Search Tree has at most two children, a left child and a right child, with the left child containing values less than the parent node and the right child containing values greater than the p 2 min read
• Insertion in Binary Search Tree (BST) Given a BST, the task is to insert a new node in this BST.Example: How to Insert a value in a Binary Search Tree:A new key is always inserted at the leaf by maintaining the property of the binary search tree. We start searching for a key from the root until we hit a leaf node. Once a leaf node is fo 15 min read
• Searching in Binary Search Tree (BST) Given a BST, the task is to search a node in this BST. For searching a value in BST, consider it as a sorted array. Now we can easily perform search operation in BST using Binary Search Algorithm. Input: Root of the below BST Output: TrueExplanation: 8 is present in the BST as right child of rootInp 7 min read
• Deletion in Binary Search Tree (BST) Given a BST, the task is to delete a node in this BST, which can be broken down into 3 scenarios:Case 1. Delete a Leaf Node in BSTDeletion in BSTCase 2. Delete a Node with Single Child in BSTDeleting a single child node is also simple in BST. Copy the child to the node and delete the node. Deletion 10 min read
• Binary Search Tree (BST) Traversals – Inorder, Preorder, Post Order Given a Binary Search Tree, The task is to print the elements in inorder, preorder, and postorder traversal of the Binary Search Tree. Input: A Binary Search TreeOutput: Inorder Traversal: 10 20 30 100 150 200 300Preorder Traversal: 100 20 10 30 200 150 300Postorder Traversal: 10 30 20 150 300 200 1 10 min read
• Balance a Binary Search Tree Given a BST (Binary Search Tree) that may be unbalanced, the task is to convert it into a balanced BST that has the minimum possible height.Examples: Input: Output: Explanation: The above unbalanced BST is converted to balanced with the minimum possible height.Input: Output: Explanation: The above u 10 min read
• Self-Balancing Binary Search Trees Self-Balancing Binary Search Trees are height-balanced binary search trees that automatically keep the height as small as possible when insertion and deletion operations are performed on the tree. The height is typically maintained in order of logN so that all operations take O(logN) time on average 4 min read