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Introduction to the characteristics of balanced binary tree

2025-03-11 Update From: SLTechnology News&Howtos shulou NAV: SLTechnology News&Howtos > Internet Technology >

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This article mainly introduces the characteristics of balanced binary tree, which has certain reference value and can be used for reference by friends who need it. Let's take a look at it with me.

The characteristics of the balanced binary tree are as follows: 1, the non-leaf node has at most two child nodes; 2, the value of the non-leaf node is larger than that of the left child node and smaller than that of the right child node; 3, the difference of the level series between the left and right sides of the tree will not be greater than 1 × 4, and there are no nodes whose values are equal and repeated.

Balanced binary tree features:

(1) non-leaf nodes have a maximum of two child nodes

(2) the value of non-leaf node is larger than that of the left child node and smaller than that of the right child node.

(3) the difference of the levels between the left and right sides of the tree will not be more than 1.

(4) there are no nodes with equal and duplicate values.

Balanced binary tree concept

Balanced binary tree is the data structure of binary tree, which is based on the strategy of dichotomy to improve the speed of data search.

Features:

The balanced binary tree uses the dichotomy thinking to assemble the data into a tree structure data according to the rules, and uses the tree structure data to reduce the retrieval of irrelevant data, which greatly improves the speed of data retrieval. The data structure assembly process of balanced binary tree has the following rules:

(1) non-leaf nodes can only allow up to two child nodes.

(2) the data distribution rule of each non-leaf node is the value of the small current node of the child node on the left, and the child node on the right is larger than the value of the current node (where the value is based on its own algorithm rules, such as hash value).

The hierarchical structure of the balanced tree: because the query performance of the balanced binary tree is inversely proportional to the level (h height) of the tree, the smaller the h value, the faster the query. In order to ensure that the data at the left and right ends of the tree are roughly balanced, the query difficulty of the binary tree is generally reduced. An algorithm mechanism is generally used to balance the node data structure, such as Treap, red-black tree. The use of balanced binary tree can ensure that the difference of node levels between the left and right sides of the data will not be greater than 1. In this way, the tree structure will not become a linear linked list due to deletion and increase, which will affect the query efficiency. In the case of ensuring data balance, the speed of finding data is close to that of dichotomy.

These are the details of the introduction of the characteristics of the balanced binary tree. Is there anything to gain after reading it? If you want to know more about it, welcome to the industry information!

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