Delete state in binary smoothly

Aug 6th, 2022
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How to Delete state in binary

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In this lesson, were going to write code to delete a node from binary search tree. In most data structures deletion is tricky. In case of binary search trees too, its not so straightforward. So lets first see what all complications we may have while trying to delete a node from binary search tree. I have drawn a binary search tree of integers here. As we know in a binary search tree for each node value of all nodes in its left subtree is lesser and value of all nodes right subtree is greater. For example, in this tree if Ill pick this node with value 5 then we have 3 and 1 in its left subtree which are lesser and we have 7 and 9 in its right subtree which are greater, and you can pick any other node in the tree and this property will be true else the tree is not a BST. Now when we need to delete a node, this property must be conserved. Lets try to delete some nodes from this example tree and see if we can rearrange these things and conserve the property of binary search tree or n

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Approach: Recursion Compare the value of key with the value of root. If the key root - value, recursively traverse the right subtree. If key root - value, recursively traverse the left subtree. While traversing if key == root-value, we need to delete this node: If the node is a leaf, make root = NULL. Return root.
1) Node to be deleted is the leaf: Simply remove it from the tree. 3) Node to be deleted has two children: Find inorder successor of the node. Copy contents of the inorder successor to the node and delete the inorder successor.
inserting a node in a binary search tree Create a new BST node and assign values to it. insert(node, key) i) If root == NULL, return the new node to the calling function. ii) if root=data key. Finally, return the original root pointer to the calling function.
Algorithm: Starting at the root, find the deepest and rightmost node in the binary tree and the node which we want to delete. Replace the deepest rightmost nodes data with the node to be deleted. Then delete the deepest rightmost node.
Algorithm Create a new BST node and assign values to it. insert(node, key) i) If root == NULL, return the new node to the calling function. ii) if root=data key. call the insert function with root=right and assign the return value in root=right. Finally, return the original root pointer to the calling function.
Delete a node from a binary tree shrinks the tree from the rightmost bottom. That means if you delete a node from a binary tree, it will be replaced by the rightmost bottom node. This deletion is something different from the binary search tree.
Insertion in Binary Search tree To insert an element in BST, we have to start searching from the root node; if the node to be inserted is less than the root node, then search for an empty location in the left subtree. Else, search for the empty location in the right subtree and insert the data.
Insertion in Binary Search tree To insert an element in BST, we have to start searching from the root node; if the node to be inserted is less than the root node, then search for an empty location in the left subtree. Else, search for the empty location in the right subtree and insert the data.

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