Which operation is more complex in terms of time for AVL trees compared to Red-B

Practice Questions

Q1
Which operation is more complex in terms of time for AVL trees compared to Red-Black trees?
  1. Searching
  2. Insertion
  3. Deletion
  4. Traversal

Questions & Step-by-Step Solutions

Which operation is more complex in terms of time for AVL trees compared to Red-Black trees?
  • Step 1: Understand what AVL trees and Red-Black trees are. They are both types of self-balancing binary search trees.
  • Step 2: Know that both trees maintain balance to ensure efficient operations like insertion, deletion, and searching.
  • Step 3: Focus on the deletion operation in both trees. Deletion is when you remove a node from the tree.
  • Step 4: In AVL trees, after deleting a node, you may need to perform multiple rotations to keep the tree balanced.
  • Step 5: In Red-Black trees, after deletion, you usually need fewer rotations to maintain balance.
  • Step 6: Conclude that deletion in AVL trees is more complex in terms of time because it may require more rotations compared to Red-Black trees.
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