V2EX cutset

Cutset

释义 Definition

cutset(割集/割边集):在图论中,指一组边(有时也指一组点),把它们从图中移除后会使图变得不连通,即把原来连在一起的部分“切开”。(更常见的含义是边割集;点的版本通常称为 vertex cut。)

发音 Pronunciation (IPA)

/ktst/

例句 Examples

A cutset can disconnect the network if those links fail.
如果这些连接失效,一个割集就可能使网络断开。

In reliability analysis, engineers look for a minimum cutset to identify the weakest links in a system.
在可靠性分析中,工程师会寻找最小割集,以识别系统中最薄弱的环节。

词源 Etymology

cutsetcut(切断、割)+ set(集合) 构成,字面意思是“用于切断的集合”。该词常用于图论与网络分析,用来描述“移除某一组边/点就能把图切开”的结构。

相关词 Related Words

文学与著作 Literary Works

  • Graph Theory Reinhard Diestel(图论教材中常用 cutset 讨论连通性与割)
  • Introduction to Graph Theory Douglas B. West(涉及割集/割与最小割的基础概念)
  • Modern Graph Theory Béla Bollobás(在连通性、割与网络结构讨论中出现)
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