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Which of the following statements about AVL trees is false?

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

Options:

  1. They are a type of self-balancing binary search tree
  2. They can become unbalanced after insertion
  3. They require more rotations than Red-Black trees
  4. They can have nodes with two children only

Correct Answer: They can have nodes with two children only

Solution: 

The statement that AVL trees can have nodes with two children only is false; they can have nodes with zero, one, or two children.

Which of the following statements about AVL trees is false?

Practice Questions

Q1
Which of the following statements about AVL trees is false?
  1. They are a type of self-balancing binary search tree
  2. They can become unbalanced after insertion
  3. They require more rotations than Red-Black trees
  4. They can have nodes with two children only

Questions & Step-by-Step Solutions

Which of the following statements about AVL trees is false?
  • Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains balance to ensure efficient operations.
  • Step 2: Know the properties of AVL trees. Each node in an AVL tree can have zero, one, or two children.
  • Step 3: Identify the statements given in the question about AVL trees.
  • Step 4: Look for the statement that claims AVL trees can only have nodes with two children.
  • Step 5: Recognize that this statement is incorrect because AVL trees can have nodes with zero, one, or two children.
  • Step 6: Conclude that the false statement is the one claiming AVL trees can have nodes with two children only.
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