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How to delete a node from a binary search tree?
1) Node to be deleted is the leaf: Simply remove from the tree. 2) Node to be deleted has only one child: Copy the child to the node and delete the child 3) Node to be deleted has two children: Find inorder successor of the node.
How is the delete operation in binary search?
Consider you need to delete the tree’s root which has left and right children. And the right children is a skewed tree in left direction after the immediate right child of root. So this makes the delete operation to run in linear time complexity. O (1), during delete operation.
How to delete a node in a BST tree?
We have discussed BST search and insert operations. In this post, the delete operation is discussed. When we delete a node, three possibilities arise. 1) Node to be deleted is the leaf: Simply remove from the tree.
When to insert a key in a binary search tree?
Insertion Operation is performed to insert an element in the Binary Search Tree. The insertion of a new key always takes place as the child of some leaf node. Search the key to be inserted from the root node till some leaf node is reached. Once a leaf node is reached, insert the key as child of that leaf node.
Can you traverse a tree before deleting a node?
The idea is to traverse the tree in a postorder fashion and delete the left and right subtree of a node before deleting the node itself. Note that we cannot traverse a tree in preorder or inorder fashion as we can’t delete a parent before deleting its children.
How to delete a tree in an iterative way?
The auxiliary space required by the program is O (h) for the call stack, where h is the height of the tree. In the iterative version, perform a level order traversal on the tree. The idea is to delete each node in the queue, one by one, after enqueuing their children.
How to delete a node with two children?
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. Note that inorder predecessor can also be used. The important thing to note is, inorder successor is needed only when the right child is not empty.
Notice that the tree satisfies the Binary Search Tree property: all nodes in the right subtree has larger values . Next, we find the successor node of the node 6 . Because the successor node does not have a left subtree , we can delete the successor node using the short-circuit method (of Case 2 )
How to delete a node from a BST?
// p points to the node that you want to remove if ( p.left == null && p.right == null ) // Case 0: p has no subtrees { /*