GraphUtilities`
GraphUtilities`

Bicomponents

As of Version 10, all the functionality of the GraphUtilities package is built into the Wolfram System. »

Bicomponents[g]

gives the biconnected components of the undirected graph g.

更多信息和选项

  • Bicomponents functionality is now available in the built-in Wolfram Language function KVertexConnectedComponents.
  • To use Bicomponents, you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
  • A biconnected component is a maximal subgraph that has no cutpoint, where a cutpoint is a vertex v such that the subgraph becomes disconnected if v and all its edges are removed.
  • Bicomponents treats the input g as an undirected graph.

范例

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基本范例  (2)

This shows that a simple line with two vertices is biconnected:

Bicomponents has been superseded by KVertexConnectedComponents:

Scope  (1)

This defines a small graph:

The graph has four bicomponents, one for each cycle and two for the line joining the cycles:

Properties & Relations  (2)

This shows that a simple line with two vertices is biconnected:

This defines a graph:

This shows its biconnected components and connected components:

The result from WeakComponents is always smaller than that of Bicomponents:

Wolfram Research (2007)，Bicomponents，Wolfram 语言函数，https://reference.wolfram.com/language/GraphUtilities/ref/Bicomponents.html.

文本

Wolfram Research (2007)，Bicomponents，Wolfram 语言函数，https://reference.wolfram.com/language/GraphUtilities/ref/Bicomponents.html.

CMS

Wolfram 语言. 2007. "Bicomponents." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/GraphUtilities/ref/Bicomponents.html.

APA

Wolfram 语言. (2007). Bicomponents. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/GraphUtilities/ref/Bicomponents.html 年

BibTeX

@misc{reference.wolfram_2024_bicomponents, author="Wolfram Research", title="{Bicomponents}", year="2007", howpublished="\url{https://reference.wolfram.com/language/GraphUtilities/ref/Bicomponents.html}", note=[Accessed: 18-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_bicomponents, organization={Wolfram Research}, title={Bicomponents}, year={2007}, url={https://reference.wolfram.com/language/GraphUtilities/ref/Bicomponents.html}, note=[Accessed: 18-November-2024 ]}