Comparison To Other Structures
Both AVL trees and red-black trees are self-balancing binary search trees, so they are very similar mathematically. The operations to balance the trees are different, but both occur in O(log n) time. The real difference between the two is the limiting height. For a tree of size :
- An AVL tree's height is strictly less than:
where is the golden ratio.
- A red-black tree's height is at most
AVL trees are more rigidly balanced than red-black trees, leading to slower insertion and removal but faster retrieval.
Read more about this topic: AVL Tree
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