Given a binary tree, delete a node from it by making sure that tree shrinks from the bottom (i.e. the deleted node is replaced by bottom most and rightmost node). This different from BST deletion. Here we do not have any order among elements, so we replace with last element.
Delete 10 in below tree 10 / \ 20 30 Output : 30 / 20 Delete 20 in below tree 10 / \ 20 30 \ 40 Output : 10 / \ 40 30
1. Starting at root, find the deepest and rightmost node in binary tree and node which we want to delete.
2. Replace the deepest rightmost node’s data with node to be deleted.
3. Then delete the deepest rightmost node.
Inorder traversal before deletion : 7 11 12 10 15 9 8 Inorder traversal after deletion : 7 8 12 10 15 9
Note: We can also replace node’s data that is to be deleted with any node whose left and right child points to NULL but we only use deepest node in order to maintain the Balance of a binary tree.
This article is contributed by Yash Singla. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to email@example.com. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready.
- Deletion of a given node K in a Binary Tree using Level Order Traversal
- AVL Tree | Set 2 (Deletion)
- Ternary Search Tree (Deletion)
- m-Way Search Tree | Set-2 | Insertion and Deletion
- Complexity of different operations in Binary tree, Binary Search Tree and AVL tree
- Maximum sub-tree sum in a Binary Tree such that the sub-tree is also a BST
- Convert a Generic Tree(N-array Tree) to Binary Tree
- Check if a binary tree is subtree of another binary tree | Set 1
- Binary Tree to Binary Search Tree Conversion
- Check if a binary tree is subtree of another binary tree | Set 2
- Convert a Binary Tree to Threaded binary tree | Set 1 (Using Queue)
- Check whether a binary tree is a full binary tree or not
- Convert a Binary Tree to Threaded binary tree | Set 2 (Efficient)
- Minimum swap required to convert binary tree to binary search tree
- Check whether a given binary tree is skewed binary tree or not?
- Difference between Binary Tree and Binary Search Tree
- Binary Tree | Set 3 (Types of Binary Tree)
- Check if a binary tree is subtree of another binary tree using preorder traversal : Iterative
- Check whether a binary tree is a full binary tree or not | Iterative Approach
- Binary Tree to Binary Search Tree Conversion using STL set