biconnected_components | R Documentation |

Finding the biconnected components of a graph

biconnected_components(graph)

`graph` |
The input graph. It is treated as an undirected graph, even if it is directed. |

A graph is biconnected if the removal of any single vertex (and its adjacent edges) does not disconnect it.

A biconnected component of a graph is a maximal biconnected subgraph of it. The biconnected components of a graph can be given by the partition of its edges: every edge is a member of exactly one biconnected component. Note that this is not true for vertices: the same vertex can be part of many biconnected components.

A named list with three components:

`no` |
Numeric scalar, an integer giving the number of biconnected components in the graph. |

`tree_edges` |
The components themselves, a list of numeric vectors. Each vector is a set of edge ids giving the edges in a biconnected component. These edges define a spanning tree of the component. |

`component_edges` |
A list of numeric vectors. It gives all edges in the components. |

`components` |
A list of numeric vectors, the vertices of the components. |

`articulation_points` |
The articulation points of the
graph. See |

Gabor Csardi csardi.gabor@gmail.com

`articulation_points`

, `components`

,
`is_connected`

, `vertex_connectivity`

g <- disjoint_union( make_full_graph(5), make_full_graph(5) ) clu <- components(g)$membership g <- add_edges(g, c(which(clu==1), which(clu==2))) bc <- biconnected_components(g)

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