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Which of the following statements about Red-Black trees is true?

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Question: Which of the following statements about Red-Black trees is true?

Options:

  1. They are always perfectly balanced.
  2. They can have a maximum of two consecutive red nodes.
  3. They are faster for search operations than AVL trees.
  4. They require more memory than AVL trees.

Correct Answer: They can have a maximum of two consecutive red nodes.

Solution: 

In Red-Black trees, a red node cannot have a red child, which means they can have a maximum of one consecutive red node.

Which of the following statements about Red-Black trees is true?

Practice Questions

Q1
Which of the following statements about Red-Black trees is true?
  1. They are always perfectly balanced.
  2. They can have a maximum of two consecutive red nodes.
  3. They are faster for search operations than AVL trees.
  4. They require more memory than AVL trees.

Questions & Step-by-Step Solutions

Which of the following statements about Red-Black trees is true?
  • Step 1: Understand what a Red-Black tree is. It is a type of binary search tree that has specific properties to ensure balanced height.
  • Step 2: Learn the properties of Red-Black trees. One important property is that no two red nodes can be adjacent (i.e., a red node cannot have a red child).
  • Step 3: Realize that because of this property, if a node is red, its children must be black. This means you can only have one red node in a row.
  • Step 4: Conclude that the statement about Red-Black trees having a maximum of one consecutive red node is true.
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