The goal of the TreeMap is to have a tree of keys where keys that are lower than the parent’s key are to the left and keys higher than the parent’s key are to the right. So, if you add C, then E, you will have this tree: C \ E If you then add … Read more
For the benefit of anybody else reading this thread who doesn’t have access to the book mentioned in the accepted answer, here is what I hope will be an acceptable descriptive answer. Rotating puts the tree in a state where it meets the criteria to recolor (the child node has a red uncle). There are … Read more
Updated and verified Of key importance to testing this is that the implementation doesn’t support deleting a nonexistent or previously deleted node! I spent way too long trying to figure out why my working solution was “broken”. This can be fixed by doing a preliminary search for the key and returning false if it’s not … Read more
A red-black tree is a particular implementation of a self-balancing binary search tree, and today it seems to be the most popular choice of implementation. Binary search trees are used to implement finite maps, where you store a set of keys with associated values. You can also implement sets by only using the keys and … Read more
A red/black tree is more or less equivalent to a 2-3-4 tree, which is just a type of B-tree. The worst-case performance is identical, provided you do a binary search of the B-tree node values. The obvious disadvantage of a B-tree is wasted space, but depending on the language/memory allocator used, you may find that … Read more
Red Black trees are good for creating well-balanced trees. The major problem with binary search trees is that you can make them unbalanced very easily. Imagine your first number is a 15. Then all the numbers after that are increasingly smaller than 15. You’ll have a tree that is very heavy on the left side … Read more
These are basically research topics, and the results are generally given in the form of conclusions, while the statistical data is hidden. One can have statistical analysis on their own data though. For the benchmarks, better go through the implementation details. The 3rd part of the question is a very subjective matter, and the actual … Read more
AVL trees maintain a more rigid balance than red-black trees. The path from the root to the deepest leaf in an AVL tree is at most ~1.44 lg(n+2), while in red black trees it’s at most ~2 lg (n+1). As a result, lookup in an AVL tree is typically faster, but this comes at the … Read more
Take this with a pinch of salt: B-tree when you’re managing more than thousands of items and you’re paging them from a disk or some slow storage medium. RB tree when you’re doing fairly frequent inserts, deletes and retrievals on the tree. AVL tree when your inserts and deletes are infrequent relative to your retrievals.
What’s the main reason for choosing Red black trees instead of AVL trees? Both red-black trees and AVL trees are the most commonly used balanced binary search trees and they support insertion, deletion and look-up in guaranteed O(logN) time. However, there are following points of comparison between the two: AVL trees are more rigidly balanced … Read more