Which of the following is true about the height of a Red-Black tree?

Practice Questions

Q1
Which of the following is true about the height of a Red-Black tree?
  1. It can be at most twice the height of an AVL tree.
  2. It is always equal to the height of a binary search tree.
  3. It is always less than or equal to log(n).
  4. It can be greater than the height of an AVL tree.

Questions & Step-by-Step Solutions

Which of the following is true about the height of a Red-Black tree?
  • Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has specific properties to ensure balance.
  • Step 2: Learn about the height of a tree. The height is the number of edges on the longest path from the root to a leaf.
  • Step 3: Know that an AVL tree is another type of binary search tree that is more strictly balanced than a Red-Black tree.
  • Step 4: Realize that the height of a Red-Black tree can be greater than that of an AVL tree. Specifically, it can be at most twice the height of an AVL tree.
  • Step 5: Conclude that because the Red-Black tree can be taller, it is considered less balanced compared to an AVL tree.
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