What is the time complexity of deleting a node from a Red-Black tree?
Practice Questions
Q1
What is the time complexity of deleting a node from a Red-Black tree?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the time complexity of deleting a node from a Red-Black tree?
Step 1: Understand what a Red-Black tree is. It is a type of self-balancing binary search tree.
Step 2: Know that in a binary search tree, each node has at most two children, and the left child is less than the parent, while the right child is greater.
Step 3: Recognize that Red-Black trees maintain balance through specific properties, which help keep the tree height logarithmic relative to the number of nodes.
Step 4: When deleting a node, the tree may need to be restructured to maintain its properties, but this restructuring is done in a way that keeps the tree balanced.
Step 5: Since the height of a Red-Black tree is O(log n), where n is the number of nodes, the time it takes to delete a node is also O(log n).
Step 6: Conclude that the time complexity for deleting a node from a Red-Black tree is O(log n).
