O'Reilly logo

C# Data Structures and Algorithms by Marcin Jamro

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

AVL trees

In this section, you will get to know one of the variants of self-balancing trees, which keeps the tree balanced all the time while adding and removing nodes. However, why is it so important? As already mentioned, the performance of the lookup time depends on the shape of the tree. In the case of improper organization of nodes, forming a list, the process of searching for a given value can be the O(n) operation. With a correctly arranged tree, the performance can be significantly improved to O(log n).

Do you know that a BST can very easily become an unbalanced tree? Let's make a simple test of adding the following nine numbers to the tree, from 1 to 9. Then, you will receive the tree with the shape shown in the following diagram ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required