How many rotations does a red-black tree have?

Rotations in Binary Search Tree. There are two types of rotations: Left Rotation. Right Rotation.

What is the purpose of a red-black tree rotation?

Rotating the subtrees in a Red-Black Tree In rotation operation, the positions of the nodes of a subtree are interchanged. Rotation operation is used for maintaining the properties of a red-black tree when they are violated by other operations such as insertion and deletion.

How do you fix a red-black tree?

Deleting an element from a Red-Black Tree

1. Assign the minimum of right subtree of noteToBeDeleted into y .
2. Save the color of y in originalColor .
3. Assign the rightChild of y into x .
4. If y is a child of nodeToBeDeleted , then set the parent of x as y .
5. Else, transplant y with rightChild of y .

Is it possible to have all black nodes in a red-black tree?

Originally Answered: Is it possible to have all black nodes in a Red-Black tree? Red node will have only black children but Black node can have red as well as black children. So, yes, there can be a Red-Black tree where all nodes are black.

How do you left rotate an array?

The array can be left rotated by shifting its elements to a position prior to them which can be accomplished by looping through the array and perform the operation arr[j] = arr[j+1]. The first element of the array will be added to the last of rotated array.

Can a red-black tree have all black nodes?

When it would be optimal to prefer red-black trees over AVL trees?

6. When it would be optimal to prefer Red-black trees over AVL trees? Explanation: Though both trees are balanced, when there are more insertions and deletions to make the tree balanced, AVL trees should have more rotations, it would be better to use red-black.

What will happen when you are inserting a black color node into a red-black tree?

Solution: When the first element is inserted it is inserted as a root node and as root node has black colour so it acquires the colour black. The new element is always inserted with a red colour and as 21 > 3 so it becomes the part of the right subtree of the root node.

Is it possible to have all red nodes in a red-black tree?

Yes, a tree with all nodes black can be a red-black tree. The tree has to be a perfect binary tree (all leaves are at the same depth or same level, and in which every parent has two children) and so, it is the only tree whose Black height equals to its tree height.

Why a red-black tree Cannot have a black node with exactly one black child and no red child?

Since red nodes cannot have red childred, in the worst case, the number of nodes on that path must alternate red/black. thus, that path can be only twice as long as the black depth of the tree. Therefore, the worst case height of the tree is O(2 log nb). Therefore, the height of a red-black tree is O(log n).