Red Black Tree VS AVL Tree

Red-Black Tree

A Red-Black Tree is a balanced binary search tree in which each node must have one extra bit to store the color of that node(either black or red). These colors are used to know whether the Tree is balanced after insertions or deletions.

Properties 

Red-Black Tree has the following properties:

• Self-balancing binary search tree.
• Each node must assign a color, either black or red.
• The root node of the Tree is always black.
• Two red nodes can’t be the adjacent nodes.
• Each leaf node must be black.

Difference Between AVL and Red-Black Trees

Both the trees have the following differences:

Also see, Difference Between List and Set

Let's see some FAQs related to the AVL and Red Black- Tree.

Frequently Asked Questions

When should we prefer Red-Black Tree over AVL Tree?

Since the AVL tree is more balanced, it provides faster searching. But when we want to prioritize the insertion and deletion operations more, we should go for the red-black tree because of its less number of rotations.

What are the limitations of the AVL tree?

AVL trees are hard to implement. In addition to that, they have high constant factors for some operations.

Why is the red-black tree more useful?

A red-black tree is a type of data structure that costs an additional colour bit for each node yet permits insertion, deletion, and searching of the tree in O(log(n)) time. Instead of an AVL tree, it is simpler to code.

Is it possible to represent a red-black tree as an array?

The red-black tree can be represented as an array, but it's not worth it. Red-black trees can grow as tall as 2*log2(n+1), where n is the number of entries. As a result, implementing it in an array will demand a lot of memory.

Conclusion

We have learned about the basic properties of the Red-Black Tree and AVL tree in this blog. I hope you also gained sufficient knowledge of the difference between the Red-Black Tree and the AVL tree. Refer to our Data Structure and Algorithm articles to learn more about DSA. Enroll in our courses and refer to the mock test and problems available.

Check out this problem - Diameter Of Binary Tree

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