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
Famous quotes containing the words comparison to other, comparison to, comparison and/or structures:
“It is very important not to become hard. The artist must always have one skin too few in comparison to other people, so you feel the slightest wind.”
—Shusha Guppy (b. 1938)
“It is very important not to become hard. The artist must always have one skin too few in comparison to other people, so you feel the slightest wind.”
—Shusha Guppy (b. 1938)
“Away with the cant of “Measures, not men!”Mthe idle supposition that it is the harness and not the horses that draw the chariot along. No, Sir, if the comparison must be made, if the distinction must be taken, men are everything, measures comparatively nothing.”
—George Canning (1770–1827)
“The American who has been confined, in his own country, to the sight of buildings designed after foreign models, is surprised on entering York Minster or St. Peter’s at Rome, by the feeling that these structures are imitations also,—faint copies of an invisible archetype.”
—Ralph Waldo Emerson (1803–1882)