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Which of the following is a valid property of Red-Black trees?

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Question: Which of the following is a valid property of Red-Black trees?

Options:

  1. The height of the tree is always even
  2. No two red nodes can be adjacent
  3. All nodes must have two children
  4. The root can be red

Correct Answer: No two red nodes can be adjacent

Solution:

In Red-Black trees, no two red nodes can be adjacent, which helps maintain balance and ensures that the tree does not become skewed.

Which of the following is a valid property of Red-Black trees?

Practice Questions

Q1
Which of the following is a valid property of Red-Black trees?
  1. The height of the tree is always even
  2. No two red nodes can be adjacent
  3. All nodes must have two children
  4. The root can be red

Questions & Step-by-Step Solutions

Which of the following is a valid property of Red-Black trees?
  • Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has specific properties to keep it balanced.
  • Step 2: Learn about the properties of Red-Black trees. One important property is that no two red nodes can be next to each other (adjacent).
  • Step 3: Recognize that this property helps to keep the tree balanced, preventing it from becoming too tall or skewed.
  • Step 4: Remember that maintaining balance is crucial for efficient operations like searching, inserting, and deleting in the tree.
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