Tree Balancing Methods Quiz
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Questions and Answers

What is a drawback of the first approach to balancing a tree?

  • Inefficient space-wise and time-consuming (correct)
  • Requires each node to maintain a reference to its parent
  • Automatically re-balances the tree after each operation
  • Much less wasteful than the second approach

What does the second approach to balancing a tree require each node to maintain?

  • An efficient algorithm
  • An array of aligned nodes
  • A sorted structure
  • A reference to its parent (correct)

What is a key advantage of the 'self-balancing' tree algorithm?

  • Requires deconstructing and then reconstructing the tree
  • Easy to implement and efficient space-wise
  • Automatically re-balances the tree after each operation if needed (correct)
  • Uses one of the efficient sorting algorithms

What is a drawback of deconstructing and reconstructing the tree to balance it?

<p>Inefficient space-wise and time-consuming (A)</p> Signup and view all the answers

What is a key advantage of using a 'self-balancing' tree algorithm?

<p>Much less wasteful than deconstructing and reconstructing the tree (D)</p> Signup and view all the answers

What is the first approach to keep a tree balanced?

<p>Deconstruct the tree by aligning the nodes in an array and sort them using one of the efficient algorithms (D)</p> Signup and view all the answers

What is a key advantage of using a 'self-balancing' tree algorithm?

<p>It automatically maintains balance during insertions and deletions (D)</p> Signup and view all the answers

What does AVL stand for in AVL Trees?

<p>Adel’son-Vel’skii and E. M. Landis (A)</p> Signup and view all the answers

What balance values are allowed for nodes in an AVL Tree?

<p>-1, 0, or 1 (A)</p> Signup and view all the answers

What technique is used in AVL Trees to maintain balance after an operation?

<p>Rotations (A)</p> Signup and view all the answers

What is the key difference between AVL tree insertions and BST insertions?

<p>AVL trees perform additional rotations to maintain balance after insertion (B)</p> Signup and view all the answers

What is the primary advantage of using an AVL tree over a basic BST?

<p>AVL trees guarantee logarithmic time complexity for all operations (A)</p> Signup and view all the answers

What happens after an insertion operation in an AVL tree?

<p>The tree may require rebalancing to maintain its properties (D)</p> Signup and view all the answers

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