V2EX multiple edge

Multiple Edge

释义 Definition(中文)

multiple edge 常见于图论/网络(graph theory)语境,指重边/平行边:在同一对顶点(nodes/vertices)之间存在两条或以上的边(edges)
在更一般的口语或技术写作里,也可被理解为“多个边/多条边界”,但最典型、最固定的用法是图论中的“重边”。

发音 Pronunciation(IPA)

/mltpl d/

例句 Examples

A multigraph can contain a multiple edge between the same two vertices.
多重图可以在同一对顶点之间包含重边(平行边)。

When modeling airline routes, using multiple edges lets the network represent several distinct flights between the same two airports with different times or costs.
在建模航线网络时,使用重边可以让网络表示同一对机场之间多条不同航班(例如时间或成本不同)。

词源 Etymology(中文)

  • multiple 源自拉丁语 multiplex(“多重的、由许多部分组成的”),后来进入法语再进入英语,逐渐固定为“多个的/多重的”。
  • edge 来自古英语 em>ecg,本义与“刀刃/边缘”相关,后来引申为“边、边界”,在数学与图论中进一步专门化为“边(连接关系)”。
    组合成 multiple edge 时,在图论里就是“同一对顶点之间不止一条连接边”。

相关词 Related Words

文学/经典著作中的用例 Notable Works(出现语境)

该术语更常见于教材与学术著作(而非小说等文学作品)中,例如:

  • Graph Theory(Bondy & Murty)讨论多重图(multigraphs)时会涉及 multiple edges/parallel edges 的概念。
  • Graph Theory(Reinhard Diestel)在图的基本定义与变体(如多重图)相关章节会出现该术语或同义表达。
  • Introduction to Graph Theory(Douglas B. West)在讲解多重图与图的建模例子时常使用这一概念。
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