Why did Linux use the AVL tree earlier and then prefer the red-black tree?In fact, this is a result of the usefulness of the red and black trees, this essay is still a metaphysical point of view. Red and black trees can be exported directly from 2-3 trees. We can not mention the red and black trees, but only 2-3 trees. Since the operation of the 2-3
Why did Linux use the AVL tree earlier and then prefer the red-black tree?In fact, this is the result of the pragmatism of the red and black tree, and this essay remains a metaphysical point of view. Red and black trees can be exported directly from 2-3 trees, we can no longer mention the red and black trees, but only
Why did Linux use the AVL tree earlier and then prefer the red-black tree?In fact, this is the result of the pragmatism of the red and black tree, and this essay remains a metaphysical point of view. Red and black trees can be exported directly from 2-3 trees, we can no longer mention the red and black trees, but only
Based on the definition of AVL tree, this paper deduces the scheme of the AVL tree rotation, which is carried out on the premise that the definition of AVL tree has been clearly known . The article focuses on the process of thinki
I. definition overview
AVL TreeIs the first self-balancing Binary Search Tree. The height of the two Subtrees on any node in the AVL tree is the largest difference, so it is also called the height balancing tree. Search, insert, and delete are both O (logN). Adding or deleti
Balance of Binary Search Trees-AVL Tree and tree rotation (illustration)
The query efficiency of the Binary Search Tree is high only when the balance is maintained.
It is not easy to balance the binary search tree. However, there are still some very classic ways to do this.
Java data structure and algorithm analysis (vi)--AVL tree
We said before. The removal algorithm of common binary lookup tree will make the Supi right subtree deep because we always replace the deleted node with one of the right subtree. will result in a two fork lookup tree, a serious imbalance. Introduction to
Balanced Binary Search Tree
The balanced binary search tree is a balance tree that appears very early. Because the height difference of all Subtrees cannot exceed 1, the average operation is O (logn ).The balanced binary search tree is similar to the BS tree, And the insert
From: http://www.nctvu.cn/kejian/sjjg/7.6.htm
Http://www.nctvu.cn/kejian/sjjg/7.6.htm7.6 AVL Tree
7.6.1 AVL Tree Definition
Highly balanced binary search tree
An AVL Tree, an empty
1. AVL Tree Definition
The balanced binary search tree, also known as the AVL Tree (named by the two people who proposed this tree) is a highly balanced binary search tree, or an empty
One problem with using a two-fork search tree is that one branch of the tree has many layers, while the other branches have only a few layers, just like this:If the amount of data is large enough, we will consume a significant amount of time when we are doing an additional pruning on an edge. We spend our energies building a structure that can improve efficiency, but it backfired. That's not what we want. S
I. Introduction to balanced Binary TreesA balanced binary tree is called a balanced binary tree. The height of the left and right Subtrees of each node is at most 1, which is strictly defined:An empty tree is a balanced binary tree. If T is a non-empty Binary Tree, its left
;//Head knot
private $data;//Initial input data, array form, such as Array (' A ', ' B ');
private $tag;//The previous node set on lookup (invalid, useless)
$BST: Whether to create an AVL tree
Public function BST ($data, $bst = False) {
$this->data = $data;
$this->head = null;
if (! $bst) {
$this->createbst ();
}else{
$this->createbfbst ();
}
}
Public Function Createbfbst () {
foreach ($this->data as $value
The AVL tree is a highly balanced two-fork search tree, with the height of the left and right trees of each node not greater than 1. This nature makes the search efficiency of the AVL tree higher than the average two-fork search tree
AVL Tree
The balance tree is most concerned with the prevention of tree imbalance, if a new element crisis to the tree balance, you can immediately correct. You can have a local refactoring tree (
AVL Tree is a highly balanced tree, for each node, the height of the left subtree and the height of the right subtree is 1.
The AVL tree is a more balanced tree than the red-black tree
The AVL tree is a highly balanced two-fork search tree, with the height of the left and right trees of each node not greater than 1. This nature makes the search efficiency of the AVL tree higher than the average two-fork search tree
node of the balanced binary tree, so that the node is not balanced.
RL balanced rotation (left subtree of the right child)Because node F is inserted in the left Tree of the right Child C of A, the balance factor of A is reduced from-1 to-2, and the balance is lost. Therefore, you need to perform two rotation operations (clockwise first and then counterclockwise ), that is, first, the root node D of the Lef
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