V2EX biconnected

Biconnected

Definition / 定义

biconnected(双连通的/双重连通的):常用于图论与计算机科学,指一个无向图(或其子图)在删除任意一个顶点及其相关边之后仍保持连通;等价地说,它没有割点(articulation point)。在实际表述中也常指“双连通分量(biconnected component)”相关性质。
(该词在不同语境下也可能有更宽泛的“以两种方式连接”的含义,但最常见的是图论义。)

Pronunciation / 发音

/baknktd/

Examples / 例句

This graph is biconnected.
这个图是双连通的。

In a biconnected graph, removing any single vertex will not disconnect the remaining vertices.
在双连通图中,删除任意一个顶点都不会使剩余顶点失去连通性。

Etymology / 词源

由前缀 **bi-**(“二、双”)+ connected(“连通的/连接的”)构成;在图论中用于强调“在单点失效下仍保持连通”的更强连通性质。

Related Words / 相关词

Literary Works / 作品中的用例

  • Introduction to Algorithms(Cormen, Leiserson, Rivest, Stein):在图的深度优先搜索章节中讨论割点与(双)连通相关概念。
  • The Algorithm Design Manual(Steven S. Skiena):在图算法与连通性主题中涉及双连通/割点的应用。
  • Graph Theory(Reinhard Diestel):在连通性与图的分解相关章节中出现(双)连通的术语与性质。
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