Which of the following is true about Red-Black Trees?
Practice Questions
Q1
Which of the following is true about Red-Black Trees?
They are always perfectly balanced
They can have a maximum height of 2 log n
They guarantee O(log n) time for all operations
They require more memory than AVL trees
Questions & Step-by-Step Solutions
Which of the following is true about Red-Black Trees?
Step 1: Understand what a Red-Black Tree is. It is a type of binary search tree that has specific properties to keep it balanced.
Step 2: Learn the properties of Red-Black Trees. They have rules about how nodes are colored (red or black) and how they are arranged.
Step 3: Know that these properties help keep the tree balanced, which means it doesn't get too tall.
Step 4: Realize that because the tree is balanced, the time it takes to search for, insert, or delete a node is proportional to the height of the tree.
Step 5: Understand that the height of a Red-Black Tree is always O(log n), where n is the number of nodes in the tree.
Step 6: Conclude that because of this height property, all search, insertion, and deletion operations can be done in O(log n) time.
