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Which of the following statements about AVL trees is true?

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Question: Which of the following statements about AVL trees is true?

Options:

  1. They can become unbalanced after every insertion
  2. They require more rotations than Red-Black trees
  3. They are always perfectly balanced
  4. They are faster for search operations than Red-Black trees

Correct Answer: They can become unbalanced after every insertion

Solution: 

AVL trees can become unbalanced after every insertion, requiring rotations to restore balance, but they maintain a stricter balance than Red-Black trees.

Which of the following statements about AVL trees is true?

Practice Questions

Q1
Which of the following statements about AVL trees is true?
  1. They can become unbalanced after every insertion
  2. They require more rotations than Red-Black trees
  3. They are always perfectly balanced
  4. They are faster for search operations than Red-Black trees

Questions & Step-by-Step Solutions

Which of the following statements about AVL trees is true?
  • Step 1: Understand what an AVL tree is. It is a type of binary search tree that maintains balance.
  • Step 2: Know that balance in an AVL tree means the heights of the two child subtrees of any node differ by at most one.
  • Step 3: Realize that when you insert a new node into an AVL tree, it can become unbalanced.
  • Step 4: Learn that to fix the unbalance after an insertion, you may need to perform rotations (like left or right rotations).
  • Step 5: Compare AVL trees with Red-Black trees. AVL trees are more strictly balanced than Red-Black trees, meaning they have a tighter height difference requirement.
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