Table of Contents
- 1 How will you delete a node in BST when the node to be deleted has both left and right child?
- 2 Which traversal is the most suitable for deleting all the nodes in a binary tree you can assume the tree to be binary?
- 3 Can a binary tree have 0 nodes?
- 4 Is B tree a binary search tree?
- 5 How do you find the height of a binary tree?
How will you delete a node in BST when the node to be deleted has both left and right child?
Deletion in a Binary Tree
- Algorithm.
- Starting at the root, find the deepest and rightmost node in binary tree and node which we want to delete.
- Replace the deepest rightmost node’s data with the node to be deleted.
- Then delete the deepest rightmost node.
When deleting a node that has two children in a binary search tree the node is replace with which of the following?
The node to be deleted has two children. However, the node which is to be deleted, is replaced with its in-order successor or predecessor recursively until the node value (to be deleted) is placed on the leaf of the tree. After the procedure, replace the node with NULL and free the allocated space.
When the degree of a node is zero It is also called as?
A node of degree zero is called a terminal node or leaf node. A non-leaf node is often called a branch node. The degree of a tree is the maximum degree of a node in the tree.
Which traversal is the most suitable for deleting all the nodes in a binary tree you can assume the tree to be binary?
Postorder traversal
I was learning how to delete a binary tree using Postorder traversal. I understand that to delete a node, first we need to delete its child node and then the node itself, so Postorder traversal is the best fit to delete a binary tree.
How do you delete a node for kids?
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.
How do you delete a node with two children in a binary tree?
Node has two children: This is little tricky.. the steps involved in this are.
- First find the successor (or predecessor) of the this node.
- Delete the successor (or predecessor) from the tree.
- Replace the node to be deleted with the successor (or predecessor)
Can a binary tree have 0 nodes?
For a binary tree, each node can have zero, one, or two children. If a tree has only a root node and no other node then it is called a NULL tree.
What is node in a binary tree?
A binary tree is made of nodes, where each node contains a “left” reference, a “right” reference, and a data element. The topmost node in the tree is called the root. Nodes with the same parent are called siblings. More tree terminology: The depth of a node is the number of edges from the root to the node.
How do you delete a node with two child nodes from a binary search tree?
Is B tree a binary search tree?
In computer science, a B-tree is a self-balancing tree data structure that maintains sorted data and allows searches, sequential access, insertions, and deletions in logarithmic time. The B-tree is a generalization of a binary search tree in that a node can have more than two children.
What is a binary search tree in a data structure?
Binary Search Tree is a node-based binary tree data structure which has the following properties: The left subtree of a node contains only nodes with keys lesser than the node’s key. The right subtree of a node contains only nodes with keys greater than the node’s key. The left and right subtree each must also be a binary search tree.
What is an internal node in a binary tree?
“Internal node in a Binary Tree or any Tree is the node which has at least one child. Basically the node which is not a leaf node is called internal node.”.
How do you find the height of a binary tree?
Given a binary tree, find height of it. Height of empty tree is 0 and height of below tree is 3. Recursively calculate height of left and right subtrees of a node and assign height to the node as max of the heights of two children plus 1. See below pseudo code and program for details.