V2EX tree rotation

Tree Rotation

释义 Definition

树旋转:在数据结构中,指对二叉搜索树等树形结构进行局部重排(通常围绕某个结点做左旋或右旋),以在不破坏中序遍历有序性的前提下,调整树的形状,从而改善或维持平衡(常见于 AVL 树、红黑树、伸展树等)。

发音 Pronunciation (IPA)

/tri roten/

例句 Examples

A left tree rotation can reduce the height of a heavy right subtree.
一次左旋可以降低右子树过重时的高度。

After inserting new keys, the red-black tree uses tree rotations to restore its balancing properties.
插入新键之后,红黑树会通过树旋转来恢复其平衡性质。

词源 Etymology

tree 来自古英语 trēow(树、木材);rotation 来自拉丁语 rotare(使旋转),与 rota(轮子)相关。组合成 tree rotation,字面是“树的旋转”,在计算机科学中引申为“通过旋转操作来调整树结构”的专门术语。

相关词 Related Words

文献与作品 Literary / Notable Works

  • Introduction to Algorithms(CLRS,《算法导论》):在红黑树章节系统讲解旋转及其在修复性质中的作用。
  • Algorithms(Robert Sedgewick & Kevin Wayne,《算法》):在平衡查找树相关内容中介绍旋转思想与实现。
  • The Art of Computer Programming, Volume 3: Sorting and Searching(Donald E. Knuth,《计算机程序设计艺术》第 3 卷):涉及平衡树与旋转等相关概念(不同版本与章节表述可能略有差异)。
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