Which property of red-black tree do we need to take care of especially while deleting a node?

The main property that violates after insertion is two consecutive reds. In delete, the main violated property is, change of black height in subtrees as deletion of a black node may cause reduced black height in one root to leaf path.

Will the root of red-black tree always be black after performing a deletion operation justify with an example?

Since the root can always be changed from red to black, but not necessarily vice versa, this rule has little effect on analysis. All leaves (NIL) are black. If a node is red, then both its children are black. Every path from a given node to any of its descendant NIL nodes contains the same number of black nodes.

Will the root of red-black tree always be black after performing a deletion operation?

Every node is either red or black. The root is black. Every leaf (NIL) is black. If a node is red, then both its children are black.

What is the maximum height of a red-black tree?

A red black tree has a max height of 2 * log(n+1) so if the number of nodes is 15 , then the max height should be 2 * log(16) or 8 .

What is the maximum height of red-black tree with 14 nodes?

1) What is the maximum height of a Red-Black Tree with 14 nodes? (Hint: The black depth of each external node in this tree is 2.) Draw an example of a tree with 14 nodes that achieves this maximum height. The maximum height is five. This can be answered using the hint.

Is it possible to have all black 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.

How do you remove roots from 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 .

Why do we prefer red-black tree Overavl?

Because red-black is more rigidly balanced.