Which of the following is true about the performance of AVL trees?

Practice Questions

Q1
Which of the following is true about the performance of AVL trees?
  1. Faster than Red-Black Trees for all operations
  2. Slower than Red-Black Trees for all operations
  3. Faster for search operations but slower for insertions
  4. Slower for search operations but faster for insertions

Questions & Step-by-Step Solutions

Which of the following is true about the performance of AVL trees?
  • Step 1: Understand what an AVL tree is. It is a type of binary search tree that keeps itself balanced.
  • Step 2: Know that 'balanced' means the tree is structured in a way that keeps its height as low as possible.
  • Step 3: Realize that a balanced tree allows for faster search operations because you have to look through fewer levels of the tree.
  • Step 4: Learn that when you insert or delete a node in an AVL tree, it may become unbalanced.
  • Step 5: Understand that to fix this imbalance, the tree may need to perform rotations, which can take extra time.
  • Step 6: Conclude that while AVL trees are great for searching quickly, they can be slower when adding or removing nodes due to the need for balancing.
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