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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