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In a Red-Black tree, what property ensures that no two red nodes are adjacent?

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Question: In a Red-Black tree, what property ensures that no two red nodes are adjacent?

Options:

  1. Root property
  2. Red property
  3. Black property
  4. Leaf property

Correct Answer: Red property

Solution:

The Red property of Red-Black trees states that no two red nodes can be adjacent, ensuring that the tree remains balanced.

In a Red-Black tree, what property ensures that no two red nodes are adjacent?

Practice Questions

Q1
In a Red-Black tree, what property ensures that no two red nodes are adjacent?
  1. Root property
  2. Red property
  3. Black property
  4. Leaf property

Questions & Step-by-Step Solutions

In a Red-Black tree, what property ensures that no two red nodes are adjacent?
  • Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has special properties to keep it balanced.
  • Step 2: Learn about the colors in a Red-Black tree. Each node can be either red or black.
  • Step 3: Focus on the Red property. This property states that if a node is red, then both of its children must be black.
  • Step 4: Realize that because of this property, two red nodes cannot be next to each other (adjacent) in the tree.
  • Step 5: Conclude that this rule helps maintain the balance of the tree, preventing it from becoming too unbalanced.
  • Red-Black Tree Properties – Red-Black trees have specific properties that maintain balance, including the rule that no two red nodes can be adjacent.
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