In a Red-Black Tree, what property must be maintained after an insertion?

Practice Questions

Q1
In a Red-Black Tree, what property must be maintained after an insertion?
  1. The tree must be a complete binary tree
  2. The root must always be red
  3. Every path from a node to its descendant leaves must have the same number of black nodes
  4. All leaves must be red

Questions & Step-by-Step Solutions

In a Red-Black Tree, what property must be maintained after an insertion?
  • Step 1: Understand that a Red-Black Tree is a type of binary search tree with specific properties.
  • Step 2: Know that each node in a Red-Black Tree is colored either red or black.
  • Step 3: Remember that one important property of a Red-Black Tree is that every path from a node to its descendant leaves must have the same number of black nodes.
  • Step 4: After inserting a new node, check if this property is still maintained.
  • Step 5: If the property is violated, perform rotations and recoloring to restore the balance of the tree.
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