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Which of the following statements is true about AVL trees?

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

Options:

  1. They are always complete binary trees.
  2. They can have duplicate values.
  3. They are more rigidly balanced than Red-Black trees.
  4. They require more memory than binary search trees.

Correct Answer: They are more rigidly balanced than Red-Black trees.

Solution: 

AVL trees are more rigidly balanced than Red-Black trees, which helps in maintaining faster search times.

Which of the following statements is true about AVL trees?

Practice Questions

Q1
Which of the following statements is true about AVL trees?
  1. They are always complete binary trees.
  2. They can have duplicate values.
  3. They are more rigidly balanced than Red-Black trees.
  4. They require more memory than binary search trees.

Questions & Step-by-Step Solutions

Which of the following statements is true about AVL trees?
  • Step 1: Understand what AVL trees are. They are a type of self-balancing binary search tree.
  • Step 2: Learn about the balancing property of AVL trees. They maintain a balance factor of -1, 0, or +1 for every node.
  • Step 3: Compare AVL trees with Red-Black trees. Red-Black trees are also self-balancing but allow for a bit more flexibility in balancing.
  • Step 4: Recognize that because AVL trees are more rigidly balanced, they can provide faster search times compared to Red-Black trees.
  • Step 5: Conclude that the statement about AVL trees being more rigidly balanced than Red-Black trees, which helps in maintaining faster search times, is true.
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