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

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

Options:

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

Correct Answer: Every path from a node to its descendant leaves must have the same number of black nodes

Solution:

In a Red-Black Tree, every path from a node to its descendant leaves must have the same number of black nodes.

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, 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.

Red-Black Tree Properties – A Red-Black Tree is a balanced binary search tree that maintains specific properties to ensure balance, including the requirement that every path from a node to its descendant leaves must have the same number of black nodes.
Tree Balancing – Understanding how insertions affect the balance of the tree and the need for re-coloring and rotations to maintain Red-Black properties.