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In a Red-Black tree, what happens when a red node is inserted as a child of anot

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Question: In a Red-Black tree, what happens when a red node is inserted as a child of another red node?

Options:

  1. The tree remains valid.
  2. The tree is immediately balanced.
  3. A recoloring and rotation may be needed.
  4. The insertion is not allowed.

Correct Answer: A recoloring and rotation may be needed.

Solution: 

When a red node is inserted as a child of another red node, a recoloring and possibly a rotation are needed to maintain the properties of the Red-Black tree.

In a Red-Black tree, what happens when a red node is inserted as a child of anot

Practice Questions

Q1
In a Red-Black tree, what happens when a red node is inserted as a child of another red node?
  1. The tree remains valid.
  2. The tree is immediately balanced.
  3. A recoloring and rotation may be needed.
  4. The insertion is not allowed.

Questions & Step-by-Step Solutions

In a Red-Black tree, what happens when a red node is inserted as a child of another red node?
  • Step 1: Understand that a Red-Black tree has specific rules. One of these rules is that a red node cannot have a red parent.
  • Step 2: When you insert a new red node as a child of another red node, this rule is violated.
  • Step 3: To fix this violation, you need to perform a recoloring. This means changing the color of the parent node from red to black.
  • Step 4: If the parent node's sibling (the other child of the grandparent) is also red, you will recolor the parent and the sibling to black and the grandparent to red.
  • Step 5: If the sibling is black or null, you will need to perform a rotation. This means you will rotate the tree to maintain balance.
  • Step 6: After the rotation, ensure that the properties of the Red-Black tree are restored.
  • Red-Black Tree Properties – A Red-Black tree is a balanced binary search tree with specific properties: each node is either red or black, the root is black, red nodes cannot have red children, and every path from a node to its descendant leaves must have the same number of black nodes.
  • Insertion in Red-Black Trees – When inserting a node, if a red node is added as a child of another red node, it violates the Red-Black tree property that states red nodes cannot have red children, necessitating recoloring and possibly rotations to restore balance.
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