What is the worst-case time complexity for deleting a node from a Red-Black tree
Practice Questions
Q1
What is the worst-case time complexity for 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 worst-case time complexity for 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 low.
Step 4: Realize that the height of a Red-Black tree is always O(log n), where n is the number of nodes in the tree.
Step 5: Understand that deleting a node involves finding the node (which takes O(log n) time) and then performing some rebalancing operations (which also take O(log n) time).
Step 6: Combine the time taken for finding and rebalancing to conclude that the worst-case time complexity for deleting a node is O(log n).
