?
Categories
Account

What is the time complexity of deleting a node in a Red-Black tree?

  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the time complexity of deleting a node in a Red-Black tree?

Options:

  1. O(log n)
  2. O(n)
  3. O(n log n)
  4. O(1)

Correct Answer: O(log n)

Solution:

The time complexity of deleting a node in a Red-Black tree is O(log n) due to the balancing operations.

What is the time complexity of deleting a node in a Red-Black tree?

Practice Questions

Q1
What is the time complexity of deleting a node in a Red-Black tree?
  1. O(log n)
  2. O(n)
  3. O(n log n)
  4. O(1)

Questions & Step-by-Step Solutions

What is the time complexity of deleting a node in a Red-Black tree?
  • Step 1: Understand what a Red-Black tree is. It is a type of self-balancing binary search tree.
  • Step 2: Know that in a binary search tree, deleting a node can take time proportional to the height of the tree.
  • Step 3: Realize that the height of a Red-Black tree is always O(log n), where n is the number of nodes in the tree.
  • Step 4: When you delete a node, you may need to perform some balancing operations to maintain the properties of the Red-Black tree.
  • Step 5: These balancing operations also take time proportional to the height of the tree, which is O(log n).
  • Step 6: Combine the time for deleting the node and the time for balancing to conclude that the total time complexity is O(log n).
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks