Binary TreesBinary Trees36

  1. 1Preorder Traversal of a Binary Tree using Recursion
  2. 2Preorder Traversal of a Binary Tree using Iteration
  3. 3Postorder Traversal of a Binary Tree Using Recursion
  4. 4Postorder Traversal of a Binary Tree using Iteration
  5. 5Level Order Traversal of a Binary Tree using Recursion
  6. 6Level Order Traversal of a Binary Tree using Iteration
  7. 7Reverse Level Order Traversal of a Binary Tree using Iteration
  8. 8Reverse Level Order Traversal of a Binary Tree using Recursion
  9. 9Find Height of a Binary Tree
  10. 10Find Diameter of a Binary Tree
  11. 11Find Mirror of a Binary Tree - Todo
  12. 12Inorder Traversal of a Binary Tree using Recursion
  13. 13Inorder Traversal of a Binary Tree using Iteration
  14. 14Left View of a Binary Tree
  15. 15Right View of a Binary Tree
  16. 16Top View of a Binary Tree
  17. 17Bottom View of a Binary Tree
  18. 18Zigzag Traversal of a Binary Tree
  19. 19Check if a Binary Tree is Balanced
  20. 20Diagonal Traversal of a Binary Tree
  21. 21Boundary Traversal of a Binary Tree
  22. 22Construct a Binary Tree from a String with Bracket Representation
  23. 23Convert a Binary Tree into a Doubly Linked List
  24. 24Convert a Binary Tree into a Sum Tree
  25. 25Find Minimum Swaps Required to Convert a Binary Tree into a BST
  26. 26Check if a Binary Tree is a Sum Tree
  27. 27Check if All Leaf Nodes are at the Same Level in a Binary Tree
  28. 28Lowest Common Ancestor (LCA) in a Binary Tree
  29. 29Solve the Tree Isomorphism Problem
  30. 30Check if a Binary Tree Contains Duplicate Subtrees of Size 2 or More
  31. 31Check if Two Binary Trees are Mirror Images
  32. 32Calculate the Sum of Nodes on the Longest Path from Root to Leaf in a Binary Tree
  33. 33Print All Paths in a Binary Tree with a Given Sum
  34. 34Find the Distance Between Two Nodes in a Binary Tree
  35. 35Find the kth Ancestor of a Node in a Binary Tree
  36. 36Find All Duplicate Subtrees in a Binary Tree

Delete a Node in a Binary Search Tree - Algorithm and Code Examples



Algorithm Steps

  1. Given a binary search tree (BST) and a key to delete.
  2. If the BST is empty, return null or the empty tree.
  3. If key is less than the value at the current node, recursively delete the node in the left subtree.
  4. If key is greater than the value at the current node, recursively delete the node in the right subtree.
  5. If key equals the current node's value, then this is the node to be deleted:
    1. If the node is a leaf, remove it.
    2. If the node has one child, replace it with its child.
    3. If the node has two children, find the minimum node in its right subtree (successor), copy its value to the current node, and then recursively delete the successor from the right subtree.
  6. Return the (possibly new) root of the BST.

Code

Python
Java
JavaScript
C
C++
C#
Kotlin
Swift
Go
Php
class TreeNode:
    def __init__(self, val=0, left=None, right=None):
        self.val = val
        self.left = left
        self.right = right

def findMin(node):
    while node.left:
        node = node.left
    return node


def deleteNode(root, key):
    if not root:
        return root
    if key < root.val:
        root.left = deleteNode(root.left, key)
    elif key > root.val:
        root.right = deleteNode(root.right, key)
    else:
        # Node with only one child or no child
        if not root.left:
            return root.right
        elif not root.right:
            return root.left
        # Node with two children: Get the inorder successor
        temp = findMin(root.right)
        root.val = temp.val
        root.right = deleteNode(root.right, temp.val)
    return root

# Example usage:
if __name__ == '__main__':
    # Build a BST and delete a node with key
    root = TreeNode(5,
            TreeNode(3, TreeNode(2), TreeNode(4)),
            TreeNode(7, TreeNode(6), TreeNode(8)))
    root = deleteNode(root, 3)
    # Function to print inorder traversal for verification
    def inorder(root):
        return inorder(root.left) + [root.val] + inorder(root.right) if root else []
    print('Inorder after deletion:', inorder(root))


Welcome to ProgramGuru

Sign up to start your journey with us

Support ProgramGuru.org

You can support this website with a contribution of your choice.

When making a contribution, mention your name, and programguru.org in the message. Your name shall be displayed in the sponsors list.

PayPal

UPI

PhonePe QR

MALLIKARJUNA M