Which of the following is a valid property of AVL trees?

Practice Questions

Q1
Which of the following is a valid property of AVL trees?
  1. The height difference between left and right subtrees can be at most 2.
  2. Every node must be black.
  3. The height difference between left and right subtrees can be at most 1.
  4. All leaves are red.

Questions & Step-by-Step Solutions

Which of the following is a valid property of AVL trees?
  • Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains balance.
  • Step 2: Learn about the balance condition of AVL trees. This condition states that for any node in the tree, the height difference between its left and right subtrees must be at most 1.
  • Step 3: Recognize that this height difference helps keep the tree balanced, ensuring that operations like insertion, deletion, and lookup remain efficient.
  • Step 4: Conclude that the valid property of AVL trees is indeed that the height difference between the left and right subtrees can be at most 1.
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