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In delete operation of BST, we need inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. Which of the following is true about inorder successor needed in delete operation?
- a)Inorder Successor is always a leaf node
- b)Inorder successor is always either a leaf node or a node with empty left child
- c)Inorder successor may be an ancestor of the node
- d)Inorder successor is always either a leaf node or a node with empty right child
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
In delete operation of BST, we need inorder successor (or predecessor)...
Explanation:
When we delete a node from Binary Search Tree (BST), we need an inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. The inorder successor is the next larger node in the BST after the node to be deleted.
The statement "Inorder successor is always either a leaf node or a node with empty left child" is true about inorder successor needed in delete operation. This can be explained as follows:
- Inorder Successor can be a leaf node: If the node to be deleted has no right child, then its inorder successor will be the leftmost leaf node in its right subtree. This is because the leftmost leaf node in the right subtree will be the next larger node in the BST after the node to be deleted.
- Inorder successor can be a node with empty left child: If the node to be deleted has a right child, then its inorder successor will be the smallest node in its right subtree that has an empty left child. This is because the smallest node in the right subtree that has an empty left child will be the next larger node in the BST after the node to be deleted.
Therefore, in both cases, the inorder successor can be either a leaf node or a node with an empty left child. It is not necessary that the inorder successor is always a leaf node, as it can also be an internal node with an empty left child.
Conclusion:
Hence, the correct option is B, which states that "Inorder successor is always either a leaf node or a node with empty left child".
When we delete a node from Binary Search Tree (BST), we need an inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. The inorder successor is the next larger node in the BST after the node to be deleted.
The statement "Inorder successor is always either a leaf node or a node with empty left child" is true about inorder successor needed in delete operation. This can be explained as follows:
- Inorder Successor can be a leaf node: If the node to be deleted has no right child, then its inorder successor will be the leftmost leaf node in its right subtree. This is because the leftmost leaf node in the right subtree will be the next larger node in the BST after the node to be deleted.
- Inorder successor can be a node with empty left child: If the node to be deleted has a right child, then its inorder successor will be the smallest node in its right subtree that has an empty left child. This is because the smallest node in the right subtree that has an empty left child will be the next larger node in the BST after the node to be deleted.
Therefore, in both cases, the inorder successor can be either a leaf node or a node with an empty left child. It is not necessary that the inorder successor is always a leaf node, as it can also be an internal node with an empty left child.
Conclusion:
Hence, the correct option is B, which states that "Inorder successor is always either a leaf node or a node with empty left child".
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In delete operation of BST, we need inorder successor (or predecessor)...
Let X be the node to be deleted in a tree with root as 'root'. There are three cases for deletion 1) X is a leaf node: We change left or right pointer of parent to NULL (depending upon whether X is left or right child of its parent) and we delete X 2) One child of X is empty: We copy values of non-empty child to X and delete the non-empty child 3) Both children of X are non-empty: In this case, we find inorder successor of X. Let the inorder successor be Y. We copy the contents of Y to X, and delete Y. Sp we need inorder successor only when both left and right child of X are not empty. In this case, the inorder successor Y can never be an ancestor of X. In this case, the inorder successor is the leftmost node in right subtree of X. Since it is leftmost node, the left child of Y must be empty.
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In delete operation of BST, we need inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. Which of the following is true about inorder successor needed in delete operation?a)Inorder Successor is always a leaf nodeb)Inorder successor is always either a leaf node or a node with empty left childc)Inorder successor may be an ancestor of the noded)Inorder successor is always either a leaf node or a node with empty right childCorrect answer is option 'B'. Can you explain this answer?
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In delete operation of BST, we need inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. Which of the following is true about inorder successor needed in delete operation?a)Inorder Successor is always a leaf nodeb)Inorder successor is always either a leaf node or a node with empty left childc)Inorder successor may be an ancestor of the noded)Inorder successor is always either a leaf node or a node with empty right childCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about In delete operation of BST, we need inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. Which of the following is true about inorder successor needed in delete operation?a)Inorder Successor is always a leaf nodeb)Inorder successor is always either a leaf node or a node with empty left childc)Inorder successor may be an ancestor of the noded)Inorder successor is always either a leaf node or a node with empty right childCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In delete operation of BST, we need inorder successor (or predecessor) of a node when the node to be deleted has both left and right child as non-empty. Which of the following is true about inorder successor needed in delete operation?a)Inorder Successor is always a leaf nodeb)Inorder successor is always either a leaf node or a node with empty left childc)Inorder successor may be an ancestor of the noded)Inorder successor is always either a leaf node or a node with empty right childCorrect answer is option 'B'. Can you explain this answer?.
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