# Insertion and deletion in binary search tree pdf

Posted on Thursday, May 27, 2021 3:02:27 AM Posted by Gareadunbe - 27.05.2021

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## Data Structure and Algorithms - Tree

First, what are the principles that define a Binary Search Tree? These nodes are either null or have references links to other nodes. Nodes have values. These values determine where they are placed within the BST. Similarly to a linked list, each node is referenced by only one other node, its parent except for the root node.

Delete Operation binary search tree BST delete operation is dropping the specified node from the tree. Delete a node from Binary Search Tree, In either case, this node will have zero or one children. Delete it according to one of the two simpler cases above. The value of a parent node is bigger than all values of its left sub tree. The value of a parent node is smaller than all values of its right sub tree.

## Binary Search Tree (BST) – Search Insert and Remove

The binary search tree is an advanced algorithm used for analyzing the node, its left and right branches, which are modeled in a tree structure and returning the value. The BST is devised on the architecture of a basic binary search algorithm; hence it enables faster lookups, insertions, and removals of nodes. This makes the program really fast and accurate. Important Terms Attributes of Binary Search Tree A BST is made of multiple nodes and consists of the following attributes: Nodes of the tree are represented in a parent-child relationship Each parent node can have zero child nodes or a maximum of two subnodes or subtrees on the left and right sides. Every sub-tree, also known as a binary search tree, has sub-branches on the right and left of themselves. All the nodes are linked with key-value pairs. The keys of the nodes present on the left subtree are smaller than the keys of their parent node Similarly, The left subtree nodes' keys have lesser values than their parent node's keys.

- Removing a leaf node is trivial, just set the relevant child pointer in the parent node to NULL. - Removing an internal node which has only one subtree is also.

## Binary search tree

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 child. Binary Search Tree is a node-based binary tree data structure which has the following properties:.

Note that the above implementation is not a binary search tree because there is no restriction in inserting elements to the tree. To insert a Node iteratively in a BST tree, we will need to traverse the tree using two pointers.

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