In a Red-Black Tree, what property must be maintained after an insertion?
Practice Questions
1 question
Q1
In a Red-Black Tree, what property must be maintained after an insertion?
The tree must be a complete binary tree
The root must always be red
Every path from a node to its descendant leaves must have the same number of black nodes
All leaves must be red
In a Red-Black Tree, every path from a node to its descendant leaves must have the same number of black nodes.
Questions & Step-by-step Solutions
1 item
Q
Q: In a Red-Black Tree, what property must be maintained after an insertion?
Solution: In a Red-Black Tree, every path from a node to its descendant leaves must have the same number of black nodes.
Steps: 5
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.