In a Red-Black Tree, what must be true about the path from any node to its desce

₹0.0

Question: In a Red-Black Tree, what must be true about the path from any node to its descendant leaves?

Options:

Correct Answer: All paths 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 must be true about the path from any node to its descendant leaves?

In a Red-Black Tree, what must be true about the path from any node to its descendant leaves?

Step 1: Understand what a Red-Black Tree is. It is a type of binary search tree with specific properties to keep it balanced.
Step 2: Know that each node in a Red-Black Tree can be either red or black.
Step 3: Learn that there are rules for how red and black nodes can be arranged in the tree.
Step 4: Focus on the paths from any node to its leaves (the end points of the tree).
Step 5: Realize that for any node, as you move down to its leaves, you count the number of black nodes you encounter.
Step 6: The important rule is that every path from a node to its leaves must have the same count of black nodes.
Step 7: This rule helps maintain the balance of the tree, ensuring that no path is significantly longer than another.

Red-Black Tree Properties – A Red-Black Tree is a balanced binary search tree with specific properties, including that every path from a node to its descendant leaves must contain the same number of black nodes, ensuring balanced height.