Question: In a Red-Black tree, what property must be maintained after every insertion?
Options:
The tree must be complete.
The tree must be balanced.
The root must always be black.
All leaves must be red.
Correct Answer: The root must always be black.
Solution:
In a Red-Black tree, the root must always be black to maintain the properties of the tree.
In a Red-Black tree, what property must be maintained after every insertion?
Practice Questions
Q1
In a Red-Black tree, what property must be maintained after every insertion?
The tree must be complete.
The tree must be balanced.
The root must always be black.
All leaves must be red.
Questions & Step-by-Step Solutions
In a Red-Black tree, what property must be maintained after every insertion?
Step 1: Understand that a Red-Black tree is a type of binary search tree with specific properties.
Step 2: Know that one of the key properties of a Red-Black tree is that the root node must always be black.
Step 3: Remember that this property helps maintain balance in the tree after every insertion.
Step 4: After inserting a new node, check if the root is black. If it is not, change it to black.
Step 5: Ensure that all other Red-Black tree properties are also maintained after the insertion.
Red-Black Tree Properties – A Red-Black tree is a balanced binary search tree that maintains specific properties: every node is either red or black, the root is black, red nodes cannot have red children (no two reds in a row), every path from a node to its descendant leaves must have the same number of black nodes, and all leaves (NIL nodes) are black.
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