Which of the following is NOT a property of AVL trees?

Practice Questions

Q1
Which of the following is NOT a property of AVL trees?
  1. The heights of two child subtrees of any node differ by at most one
  2. Every node is colored either red or black
  3. In-order traversal yields sorted order
  4. The tree is a binary search tree

Questions & Step-by-Step Solutions

Which of the following is NOT a 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 to ensure efficient operations.
  • Step 2: Learn about the properties of AVL trees. AVL trees have properties like height balance, where the difference in heights between the left and right subtrees is at most 1.
  • Step 3: Identify the properties of Red-Black trees. Red-Black trees have a coloring property, where each node is colored either red or black, and they follow specific rules regarding these colors.
  • Step 4: Compare the properties of AVL trees and Red-Black trees. Notice that AVL trees do not have a coloring property, while Red-Black trees do.
  • Step 5: Conclude that the statement in the question is correct. The property that is NOT associated with AVL trees is the coloring property.
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