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In a Red-Black tree, what happens when a red node is inserted?

Practice Questions

Q1
In a Red-Black tree, what happens when a red node is inserted?
  1. It is always the root.
  2. It may cause a violation of Red-Black properties.
  3. It is always a leaf.
  4. It cannot be inserted.

Questions & Step-by-Step Solutions

In a Red-Black tree, what happens when a red node is inserted?
  • Step 1: Insert the new red node into the Red-Black tree as you would in a regular binary search tree.
  • Step 2: Check if the parent of the new red node is also red.
  • Step 3: If the parent is red, this violates the Red-Black property that states a red node cannot have a red parent.
  • Step 4: To fix this violation, check the color of the uncle node (the sibling of the parent).
  • Step 5: If the uncle is red, change the parent and uncle to black and the grandparent to red, then repeat the check from the grandparent.
  • Step 6: If the uncle is black or null, perform a rotation (left or right) and recolor nodes to restore the Red-Black properties.
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