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Questions about handling graphs in Mathematica, graph theory, graph visualization, GraphPlot, the built-in Graph type and the Combinatorica` package.

3 votes

How do I find all cut vertices (aka articulation points) in a graph?

One (not particularly efficient) way that occurs to me is to first find the biconnected components of a graph g, for which there is a built-in function (KVertexConnectedComponents). Then, use the fact …
David Zhang's user avatar
  • 2,336
3 votes
2 answers
630 views

How do I find all cut vertices (aka articulation points) in a graph?

Given a connected graph $G = (V,E)$, we say that a vertex $v \in V$ is a cut vertex of $G$ if the removal of $v$ from $G$ causes $G$ to become disconnected. How can I find all cut vertices of a given …
David Zhang's user avatar
  • 2,336
9 votes
1 answer
192 views

Deleting zero edges from a graph causes bizarre behavior

Bug introduced in 10.3.0 and fixed in 10.4. Consider the following (very simple) graph, with two vertices and one edge: g = Graph[{1, 2}, {1 <-> 2}]; I can use EdgeDelete to remove the edge from …
David Zhang's user avatar
  • 2,336