Recovering a Binary Search Tree (BST)
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Questions and Answers

What is the primary reason for recovering a Binary Search Tree?

  • To reduce the tree's memory usage
  • To maintain the tree's structural integrity (correct)
  • To enhance the tree's traversal speed
  • To improve the tree's search efficiency

Which operation can lead to the need for recovering a BST?

  • Insertion of a new node
  • Deletion of an existing node (correct)
  • Traversal of the tree
  • Searching for a specific node

What property must be maintained in a BST after a node deletion?

  • Binary search property (correct)
  • Pre-order traversal property
  • Post-order traversal property
  • In-order traversal property

Which algorithm can be used for recovering a BST after a deletion?

<p>In-order traversal (C)</p> Signup and view all the answers

What does the in-order traversal of a BST produce?

<p>Nodes in sorted order (B)</p> Signup and view all the answers

When recovering a BST after a deletion, which case is the simplest to handle?

<p>Node with no children (A)</p> Signup and view all the answers

What is the main objective of maintaining the binary search property in a BST?

<p>To guarantee the correctness of search operations (D)</p> Signup and view all the answers

Which of the following is a consequence of deleting a node with two children from a BST?

<p>The tree's structural integrity is compromised (D)</p> Signup and view all the answers

What is the primary advantage of using in-order traversal for recovering a BST?

<p>It restores the binary search property (A)</p> Signup and view all the answers

What is the main difference between recovering a BST after a deletion and recovering a BST after an insertion?

<p>The need to maintain the binary search property (B)</p> Signup and view all the answers

Why is node deletion more complex than node insertion in a BST?

<p>Because it has to handle three possible cases (C)</p> Signup and view all the answers

What is the primary goal of tree rebalancing in a BST?

<p>To maintain the binary search property (C)</p> Signup and view all the answers

Study Notes

Binary Search Tree (BST) Recovery

  • The primary purpose of recovering a BST is to ensure its structural integrity after modifications.
  • Deletion operation can lead to the need for recovering a BST.
  • The binary search property must be maintained after a node deletion in a BST.

In-order Traversal

  • In-order traversal of a BST produces nodes in sorted order.
  • In-order traversal algorithm can be used for recovering a BST after a deletion.

Node Deletion and Recovery

  • The simplest case to handle when recovering a BST after a deletion is a node with no children.
  • When a node with two children is deleted from a BST, the node's right child is typically chosen as its replacement.

Steps in BST Recovery

  • Finding the node to be deleted is a step in recovering a BST.
  • Deleting the node is a step in recovering a BST.
  • Reorganizing the tree to maintain the binary search property is a step in recovering a BST.

Data Structure for Tracking Parent Nodes

  • A stack is a data structure commonly used for tracking parent nodes during BST recovery.

Post-Recovery Operations

  • Performing a rebalancing operation like AVL or Red-Black tree rotations is necessary to ensure the tree is balanced after recovering a BST following a deletion.

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Test your knowledge of Binary Search Tree (BST) recovery, including its primary purpose, operations that lead to recovery, and more. Assess your understanding of BST concepts and principles.

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