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Which of the following statements is true regarding the balancing of AVL trees?

Practice Questions

Q1
Which of the following statements is true regarding the balancing of AVL trees?
  1. They require fewer rotations than Red-Black trees
  2. They are always balanced after every insertion
  3. They can become unbalanced after deletion
  4. They do not require balancing at all

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the balancing of AVL trees?
  • Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains a balance condition.
  • Step 2: Know that the balance condition means the heights of the two child subtrees of any node differ by at most one.
  • Step 3: Realize that when you delete a node from an AVL tree, it can cause the tree to become unbalanced.
  • Step 4: Learn that to fix this imbalance, we need to perform rotations. Rotations are operations that rearrange the tree to restore balance.
  • Step 5: Remember that there are different types of rotations: single rotations and double rotations, depending on the situation.
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