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“歪歪跨考408——数据结构（13）”，欢迎您的访问。

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Dear you, this is The LearningYard Academy. Today Xiaobian brings you "Crooked Cross Test 408 – Data Structures”, welcome your visit.

思维导图

mind map

线索二叉树是一种通过对普通二叉树进行改造而得到的数据结构，它的特点在于能够快速定位节点的前驱和后继，从而提高了对树的遍历效率。

Clue binary tree is a kind of data structure obtained by transforming ordinary binary tree, which is characterized by being able to quickly locate the precursor and successor of nodes, thereby improving the traversal efficiency of the tree.

什么是线索二叉树呢？我们知道，普通的二叉树在进行中序遍历时需要通过递归或者栈来实现，而线索二叉树则通过添加一些特殊的指针，使得在遍历过程中能够快速找到节点的前驱和后继节点，从而省去了递归或栈的开销。

What is a binary tree of clues? As we know, ordinary binary trees need to be implemented through recursion or stacks during mid-order traversal, while clue binary trees can quickly find the predecessor and successor nodes of nodes during the traversal process by adding some special pointers, thus saving the overhead of recursion or stack.

线索二叉树的节点结构相比普通二叉树多了两个指针，分别是指向前驱节点和后继节点的线索指针。这样一来，我们在进行中序遍历时，可以利用这些线索指针直接跳到下一个节点，而不需要再通过递归或栈的方式，大大提高了遍历的效率。

Compared with ordinary binary trees, the node structure of a clue binary tree has two more pointers, which are the clue pointers to the predecessor node and the successor node. In this way, when we are doing in-order traversal, we can use these clue pointers to jump directly to the next node, instead of recursively or stacking, which greatly improves the efficiency of traversal.

除了中序线索二叉树，我们还可以根据需要构建前序和后序线索二叉树，它们的原理和中序线索二叉树类似，只是需要在遍历过程中合适地设置线索指针。

In addition to the mid-order clue binary, we can also build pre-order and post-order lead binary trees as needed, which are similar to the principle of the middle-order clue binary, except that the clue pointers need to be set appropriately during the traversal process.

线索二叉树在实际应用中广泛存在，比如在文件系统中用来加快查找文件、在数据库系统中加快索引的查找等等。因此，了解线索二叉树对于理解数据结构和提高编程效率都有着重要的意义。

Clue binary trees are widely used in practical applications, such as speeding up the search of files in the file system, speeding up the search of indexes in the database system, and so on. Therefore, understanding the clue binary tree is of great significance for understanding the data structure and improving the efficiency of programming.

希望通过今天的分享，你对线索二叉树有了更深入的了解。如果你对这个话题感兴趣，不妨深入研究一下，相信一定会有意想不到的收获！

Hopefully, through today's sharing, you have a deeper understanding of the binary tree of clues. If you are interested in this topic, you may wish to dig deeper, I believe there will be unexpected gains!

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翻译来源于谷歌翻译

部分来源于

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人民邮电出版社出版《数据结构》