Disadvantages

What is Binary Search Tree?

Binary Search Tree (BST) is a special type of binary tree in which the left child of a node has a value less than the node’s value and the right child has a value greater than the node’s value. This property is called the BST property and it makes it possible to efficiently search, insert, and delete elements in the tree....

Properties of Binary Search Tree:

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.This means everything to the left of the root is less than the value of the root and everything to the right of the root is greater than the value of the root. Due to this performing, a binary search is very easy.The left and right subtree each must also be a binary search tree.  There must be no duplicate nodes(BST may have duplicate values with different handling approaches)...

Basic Operations on Binary Search Tree:

1. Searching a node in BST:...

1. Searching a node in BST:

Searching in BST means to locate a specific node in the data structure. In Binary search tree, searching a node is easy because of its a specific order. The steps of searching a node in Binary Search tree are listed as follows –...

2. Insert a node into a BST:

A new key is always inserted at the leaf. Start searching a key from the root till a leaf node. Once a leaf node is found, the new node is added as a child of the leaf node....

3. Delete a Node of BST:

It is used to delete a node with specific key from the BST and return the new BST....

4. Traversal (Inorder traversal of BST) :

In case of binary search trees (BST), Inorder traversal gives nodes in non-decreasing order. We visit the left child first, then the root, and then the right child....

Applications of BST:

Graph algorithms: BSTs can be used to implement graph algorithms, such as in minimum spanning tree algorithms.Priority Queues: BSTs can be used to implement priority queues, where the element with the highest priority is at the root of the tree, and elements with lower priority are stored in the subtrees.Self-balancing binary search tree: BSTs can be used as a self-balancing data structures such as AVL tree and Red-black tree.Data storage and retrieval: BSTs can be used to store and retrieve data quickly, such as in databases, where searching for a specific record can be done in logarithmic time....

Advantages:

Fast search: Searching for a specific value in a BST has an average time complexity of O(log n), where n is the number of nodes in the tree. This is much faster than searching for an element in an array or linked list, which have a time complexity of O(n) in the worst case.In-order traversal: BSTs can be traversed in-order, which visits the left subtree, the root, and the right subtree. This can be used to sort a dataset.Space efficient: BSTs are space efficient as they do not store any redundant information, unlike arrays and linked lists....

Disadvantages:

Skewed trees: If a tree becomes skewed, the time complexity of search, insertion, and deletion operations will be O(n) instead of O(log n), which can make the tree inefficient.Additional time required: Self-balancing trees require additional time to maintain balance during insertion and deletion operations.Efficiency: BSTs are not efficient for datasets with many duplicates as they will waste space....

FAQ’s (Frequently asked questions) on Binary Search Tree:

1. What is a Binary Search Tree?...