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ArticulationVertices[g]

gives a list of all articulation vertices in graph g. These are vertices whose removal will disconnect the graph.

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Combinatorica`
Combinatorica`

ArticulationVertices

As of Version 10, most of the functionality of the Combinatorica package is built into the Wolfram System. »

ArticulationVertices[g]

gives a list of all articulation vertices in graph g. These are vertices whose removal will disconnect the graph.

Details and Options

Examples

Basic Examples  (2)

ArticulationVertices has been superseded by FindVertexCut:

Wolfram Research (2012), ArticulationVertices, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ArticulationVertices.html.

Text

Wolfram Research (2012), ArticulationVertices, Wolfram Language function, https://reference.wolfram.com/language/Combinatorica/ref/ArticulationVertices.html.

CMS

Wolfram Language. 2012. "ArticulationVertices." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/Combinatorica/ref/ArticulationVertices.html.

APA

Wolfram Language. (2012). ArticulationVertices. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/Combinatorica/ref/ArticulationVertices.html

BibTeX

@misc{reference.wolfram_2025_articulationvertices, author="Wolfram Research", title="{ArticulationVertices}", year="2012", howpublished="\url{https://reference.wolfram.com/language/Combinatorica/ref/ArticulationVertices.html}", note=[Accessed: 13-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_articulationvertices, organization={Wolfram Research}, title={ArticulationVertices}, year={2012}, url={https://reference.wolfram.com/language/Combinatorica/ref/ArticulationVertices.html}, note=[Accessed: 13-August-2025]}