subtree of the parent node of P.(3) If the left and right subtrees of the deleted node p are not empty, there are two ways:
Set PL to the left or right child node of P's parent node Q (depending on p is the left and right child node of its parent node Q), set PR to the right child node of the middle order forward node s of the P node (s is the most right node of PL, which is the largest node in the PL subtree).
In order to replace the point of P node with the pre-order or successor
The red and black Tree is a two-fork search tree , which adds a storage bit on each node to represent the color of the node, which can be red or Black.By constraining the height of the tree by any color from the root to the leaf node's simple path, the red-black tree guarant
Red and black tree insert
The red-black tree node is inserted by default as the node is red . I understand that, in fact, the insertion of red or black can be, but it is necessary to
Use the java. util. TreeMap source code to understand the red and black trees,Preface
This article combines the TreeMap source code of JDK1.6 to explore the mysteries of the Red-black tree. The red/black tree solves the imbalance
Deleting a node can also change the balance of the tree, and the imbalance caused by the deletion is more complex than the balance correction caused by the insertion.
Simplification is a common method in algorithm analysis. Below we will want to delete the node into three main categories: to delete the node as a leaf node, to delete a node only one child node and to delete has two child nodes.
There are two possible colors for deleting nodes, and they need to be treated separately.
To simp
It has been discussed in the binary tree that if you insert a tree node in random order, the vast majority of them will appear unbalanced. In the worst case, when the data is inserted in order, the binary tree will become a linked list, and the efficiency of insertion and deletion will be severely reduced
is the case of inserting a binary tree in ascending order of data:
A red-black tree is a way
The red and black trees belong to the balanced binary tree. It is not strictly because it does not strictly control the difference between the left and right subtree height or the number of nodes is less than or equal to 1, but the red black tree height remains the average log (n), and the worst case height will not ex
If the balanced binary tree is a class, then the red-black tree is an example of the class.
Algorithm of the book I lost a long time, I can not find, I was based on memory said. The red-black tree algorithm is troublesome, but its thought is very good, if understands its thought also understands its algorithm, I also o
Red-black tree is a more data structure used in engineering, its advantage is that the complexity of the search is O (LgN), and the red-black tree will be inserted in the data to maintain a balance, suppress the complexity of the explosion. Although it is not as efficient as Hashtable, it does not have to plan and allo
Delete operations are more complex than inserts. First, let's look at some of the characteristics of red and black trees. These are my random list, for everyone's reference.1, the red node Father black child must be black. (Nil is a blac
About red and black treesRed-black tree is a self-balancing binary search tree, also has the characteristics of a two-fork tree, keeping the right side is always greater than the left node key features. The AVL tree mentioned earlier is also a variant of the binary search tree, which does not reach the height of the AVL tree, in other words, its height is not as
Insert or delete operations, it is possible to change the balance of the red and black trees, the use of color change and rotation of the two magic can be used to deal with all cases, the unbalanced red and black trees into a balanced red-
What is a red and black tree??? The red and black tree is first a search binary tree, each node in the tree color is not black or red. It has the following characteristics:1, the root node is black2. Each knot is either
ObjectiveThis article will combine JDK1.6 's TreeMap source code, to explore the mystery of red-Haishi together. The red-black tree is an unbalanced problem that solves the two-fork search tree.When inserting (or deleting) a new node, in order to keep the tree balanced, certain rules must be followed, which is the red-
A red/black tree is a special binary search tree. It has the following five properties:
1. The root node is black.
2. Each node is either black or red.
3. the two sons of each Red node must be
1. Red-Black Tree description : It is either an empty tree or a two-fork search tree with the following attributes:1) node is not red or black;2) The root node is black;3) All NULL nodes are called the leaf node, and the color is considered
Http://www.cnblogs.com/CarpenterLee/p/5503882.htmlThis article takes Java TreeMap as an example, from the source code level, combined with detailed illustrations, silking the insertion, deletion and the resulting adjustment process of the red-black tree (red-black trees).General IntroductionJava TreeMap implements the
A red-black tree is a binary lookup tree, but adds a storage bit to the node's color at each node, either red or black. The red-black tree ensures that no path will be twice times longer than the other paths, and thus is nearly ba
Summary
Bowen explores four key points: 1, a brief introduction to the red-black tree; 2, red-Black tree node data structure; 3, the color of the parent pointer field and the node of the red-black tree node are organically combin
If the deleted node has two non-leaf nodes, it can be converted to delete a "replacement point" problem, the replacement point at most only one non-leaf child node. You can replace the node that was originally deleted by a precursor or a successor (with up to one non-leaf child node), so just focus on the problem of only one non-leaf child node, and once we've solved the problem, the workaround will work in two situations:1, originally want to delete the node has a non-leaf child node2, original
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