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  2. 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 and hence provide faster look-ups. Thus for a look-up intensive task use an ...

  3. While in both algorithms the insert/delete operations are O (log n), in the case of Red-Black tree re-balancing rotation is an O (1) operation while with AVL this is a O (log n) operation, making the Red-Black tree more efficient in this aspect of the re-balancing stage and one of the possible reasons that it is more commonly used.

  4. 58. No, there is not a balanced binary tree in the stdlib. However, from your comments, it sounds like you may have some other options: You say that you want a BST instead of a list for O(log n) searches. If searching is all you need and your data are already sorted, the bisect module provides a binary search algorithm for lists.

  5. algorithm - Red-Black Trees - Stack Overflow

    stackoverflow.com/questions/20734

    Red Black trees solve that by forcing your tree to be balanced whenever you insert or delete. It accomplishes this through a series of rotations between ancestor nodes and child nodes. The algorithm is actually pretty straightforward, although it is a bit long.

  6. 1. A null binary tree is a red-black tree. A non-null binary tree is a red-black tree if: The root is black; the number of black nodes on any path from root to null is the same. no such path has two non-black (i.e., red) nodes in a row. We'll refer to the number of black nodes on every path from root to null as the tree's "black-height".

  7. 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 not storing any values.

  8. 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 a 2-3-4 tree uses less space ...

  9. Insert as usual into a BST and keep eliminating double-reds until you reach the root. Deleting a red node is never a problem. Note that one never deletes a node with two children from a BST. If you delete a black node with one child, color the child black, and you are done. Only deletion of black leaves (real ones, not dummies) are a problem.

  10. A red-black tree is a binary tree that satisfies the following red-black properties: Every node is either red or black. The root is black. Every leaf (NIL) is black. If a node is red, then both its children are black. For each node, all simple paths from the node to descendant leaves contain the same number of black nodes.

  11. The black height of a node in a red-black tree is the the number of black nodes from the current node to a leaf not counting the current node. (This will be the same value in every route). So if you just add two black leafs to every red node you will get a red-black tree with a black height of 2 and 15 internal nodes.