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

ArticulationVertices functionality is now available in the built-in Wolfram Language function FindVertexCut.
To use ArticulationVertices, you first need to load the Combinatorica Package using Needs["Combinatorica`"].

Wolfram Language code: Needs["Combinatorica`"]

Wolfram Language code: g = FromUnorderedPairs[{{1, 2}, {2, 3}, {3, 4}, {4, 5}, {1, 5}, {1, 6}}];

Wolfram Language code: ShowGragph[g]

Wolfram Language code: ArticulationVertices[g]

ArticulationVertices has been superseded by FindVertexCut:

Wolfram Language code: g = Graph[{12, 15, 23, 34, 45, 16}]

Wolfram Language code: FindVertexCut[g]

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