There are three cases for deleting a node from a binary search tree. A Binary Search Tree (BST) is a tree in which all the nodes follow the below-mentioned properties − The left sub-tree of a node has a key less than or equal to its parent node's key. In such a case, simply delete the node from the tree. Case I. The right sub-tree of a node has a key greater than to its parent node's key. The node is a leaf node with no children so it should be deleted. the deleted node is replaced by bottom most and rightmost node). This is the code: Thus, BST divides all its sub-trees into two segments; the left sub-tree and the right sub-tree and can be defined as – Here we do not have any order among elements, so we replace with last element. With the aforementioned constraints, Searching gets faster. Given a binary tree, delete a node from it by making sure that tree shrinks from the bottom (i.e. I tried calling .delete on a node. In the first case, the node to be deleted is the leaf node. 4 is to be deleted Delete the node Case II. when balanced. Deletion from BST (Binary Search Tree) Given a BST, write an efficient function to delete a given key in it. Implementation. Binary search tree is a binary tree with following properties: Left sub tree of a node always contains lesser key; Right subtree of a node always contains greater key; Equal valued keys are not allowed; Sometime it is also referred as Ordered binary tree or Sorted binary tree. I'm beginner in Python and I tried to create a function to delete a node in a binary search tree. One interesting application of binary search tree is in the tree sort. The in-order traversal of BST results into the sorted order of the keys. This is known as the tree sort and the complexity of this sort is O(nh). This different from BST deletion. In the second case, the node to be deleted lies has a single child node. To delete a node from BST, there are three possible cases to consider: Case 1: Deleting a node with no children: simply remove the node from the tree. However, after I called .delete, the node is still there. Deletion . However, we must delete a node from a binary search tree in such a way, that the property of binary search tree … Delete function is used to delete the specified node from a binary search tree. Very efficient and its code is easier than other data structures. The C++, Java, and Python implementations of the binary search tree … In such a case follow the steps below: Replace that node with its child node. Advantages (1) Binary Search Tree is fast in insertion and deletion etc.