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In a Red-Black tree, what must be true about the children of a red node?

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Question: In a Red-Black tree, what must be true about the children of a red node?

Options:

  1. They must be red.
  2. They must be black.
  3. They can be either color.
  4. They must be leaf nodes.

Correct Answer: They must be black.

Solution:

In a Red-Black tree, the children of a red node must be black to maintain the tree\'s properties.

In a Red-Black tree, what must be true about the children of a red node?

Practice Questions

Q1
In a Red-Black tree, what must be true about the children of a red node?
  1. They must be red.
  2. They must be black.
  3. They can be either color.
  4. They must be leaf nodes.

Questions & Step-by-Step Solutions

In a Red-Black tree, what must be true about the children of a red node?
  • Step 1: Understand what a Red-Black tree is. It is a type of binary search tree with specific properties.
  • Step 2: Learn about the properties of a Red-Black tree. One important property is that red nodes cannot have red children.
  • Step 3: Identify what a 'red node' is. A red node is a node in the tree that is colored red.
  • Step 4: Recognize that if a node is red, its children must be black. This is to ensure that there are no two consecutive red nodes.
  • Step 5: Conclude that in a Red-Black tree, if you have a red node, both of its children must be black.
  • Red-Black Tree Properties – A Red-Black tree is a balanced binary search tree with specific properties, including that no two red nodes can be adjacent (a red node cannot have a red child).
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