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Which of the following properties is always true for a Red-Black Tree?
Question



Which of the following properties is always true for a Red-Black Tree?

A.

The root node is always red.

B.

Every leaf (NIL) node is red.

C.

The root node is always black.

D.

The tree must be a complete binary tree.

E.

Every internal node has exactly two children.

Correct option is C

The root node is always black in a Red-Black Tree, which ensures that the tree maintains balance properties essential for efficient operations like search, insert, and delete.
Important Key Points:
1. In a Red-Black Tree, the root node is always black to help maintain balance.
2. The Red-Black Tree is a type of self-balancing binary search tree where balancing is maintained using specific coloring rules.
3. This property ensures that the longest path from the root to a leaf is no more than twice as long as the shortest path, which keeps operations efficient.
Knowledge Booster:
· The root node is always red: This is incorrect. In a Red-Black Tree, the root node is always black.
· Every leaf (NIL) node is red: In a Red-Black Tree, every leaf (NIL) node is actually black.
· The tree must be a complete binary tree: A Red-Black Tree is not necessarily a complete binary tree, as it allows variability in structure while maintaining balanced properties.
· Every internal node has exactly two children: This is false because internal nodes in a Red-Black Tree can have one or two children, depending on the structure after rebalancing.

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