its replacement R there is a red (of course, it is not all red), such as up and down these two pictures of the situation.
in this case, as long as the replacement R is dyed black, it is ensured that rule 4 is not affected . The reason is that, from the tree structure before the delete operation is visible, this p
1. Introduction to the red/black tree
2. Introduction to the properties of the red/black tree
3. roaming the red and black trees
4. My EasyCoding Library
5. Download references and code
The
1. Introduction to the red/black tree
2. Introduction to the properties of the red/black tree
3. roaming the red and black trees
4. My easycoding Library
5. References andCodeDownload
The
longer explained here.Iv. addition of red and black treesThe red and black tree itself is a binary search tree, meaning that the value of a node must not be less than the value of its left child, and not greater than the value of its right child. When a node is added, traversing from the root, it will be possible to f
Red-black Trees?Red-black trees is one of the many search-tree schemes that is "balanced" in order to guarantee that basic Dynamic-set opera tions take O (LGN) time in the worst case.Red-black trees? is one of many search tree frameworks. These trees take the self-balance in
image. You can swap the Left and Right of case 3.
5. If the parent node of the node to be inserted is red and the uncle node is red, as follows:
At this time, you only need to black out the Father's Day node and Uncle node, and red the grandfather node.
The above is the
the root node splitting
This insertion is equivalent to inserting elements into this can cause the height of the tree to change the disadvantage of storing in 3 nodes, with the insertion of 3 nodes to the root node, and then through the root of the division of the entire tree is increased by 1, it can be seen that 3 nodes and the associated insertion method is to ensure the balance of the key, It can also be seen that the growth of 2-3 trees grows from the bottom up through the root node. 2-3 t
Introduction to Algorithms 13th Chapter Red black TreeRed-Black Trees (red-black tree) are one of many balanced search trees that ensure that the time complexity of basic dynamic set operations is O (LGN) in the worst case scenari
Http://www.cnblogs.com/yangecnu/p/3627386.htmlThe previous article introduced the 2-3 lookup tree, you can see that the 2-3 find tree can ensure that after inserting elements can maintain the balance of the tree, the worst case is all the child nodes are 2-node, the height of the tree is LGN, thus guaranteeing the worst case of time complexity. However, 2-3 trees are more complex to implement, this paper in
The previous article introduced the 2-3 lookup tree, you can see that the 2-3 find tree can ensure that after inserting elements can maintain the balance of the tree, the worst case is all the child nodes are 2-node, the height of the tree is LGN, thus guaranteeing the worst case of time complexity. However, 2-3 trees are more complex to implement, this paper introduces a simple implementation of 2-3 tree d
Author:Dong| Reprinted, but the original source, author information, and copyright statement of the article must be indicated in hyperlink formWeb: http://dongxicheng.org/structure/red-black-tree/
1. Introduction
The red/black tree is a self-balancing Binary Search Tree. Its statistical performance is better than that
Before we learned the binary search tree, we found that in some cases its height is not very uniform, and sometimes degenerate into a long chain, so we refer to some "balanced" two-fork search tree. The red and black tree is a "balanced" two-fork search tree, which ensures that in the worst case, the time complexity of the basic dynamic set operation is O (NLGN)
The two-fork search tree is described earlier, and he has no problem with the efficiency of finding and inserting in most cases, but he is less efficient in the worst case. The data structure of the balanced lookup tree introduced in this article and later in this article ensures that the LGN efficiency can be achieved in the worst case, and we need to make sure that the tree remains in equilibrium after th
In practice, we do not directly use the Binary Search Tree, because the performance of the Binary Search Tree is heavily dependent on the insertion sequence of elements, especially when an element is inserted in an ascending manner, in this case, the binary search tree will become a linked list. In practical applications, we use the "balanced" binary search tree, including the AVL, red,
. Therefore, we can find a way to restore the black height of the original path containing y nodes. The practice is:Unconditionally push the black color of the Y node to its sub-node X.. (X may be a nil node ). In this way,X may have both black and red colors., That is, 1st items are damaged.However, the 1st items are
Transferred from:http://dongxicheng.org/structure/red-black-tree/1. IntroductionThe red-black tree is a self-balancing binary search tree. It has a better statistical performance than a balanced binary tree (AVL tree), so red and black
1. Introduction
The red-black tree is a self balanced binary lookup tree. Its statistical performance is better than the balanced binary tree (AVL tree), so the red-black tree is used in many places. In C + + STL, many parts (currently including set, Multiset, map, Multimap) apply the variant of the
1: The tree is empty tree, directly into the root node location, violating the nature of 1, the node color from red to black.Scenario 2: The parent node of INSERT node n p is black, does not violate any nature and does not require any modification.Below the------are the various cases where p is red-----Case 3: N is
Red and black Trees (red-black tree)
The red-black tree is a type of BST, but a storage bit on each node indicates the color of the node (R or B); The red-
Before we learn binary search tree when hair now in some cases its height is not very uniform, and sometimes degenerate into a long chain, so we quoted some "balanced" two-fork search tree. The red and black tree is a "balanced" two-fork search tree, which ensures that in the worst case, the time complexity of the basic dynamic set operation is O (NLGN) by attach
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