articulation_points() finds the articulation points (or cut vertices)
Value
For articulation_points(), a numeric vector giving the vertex
IDs of the articulation points of the input graph. For bridges(), a
numeric vector giving the edge IDs of the bridges of the input graph.
Details
Articulation points or cut vertices are vertices whose removal increases the number of connected components in a graph. Similarly, bridges or cut-edges are edges whose removal increases the number of connected components in a graph. If the original graph was connected, then the removal of a single articulation point or a single bridge makes it disconnected. If a graph contains no articulation points, then its vertex connectivity is at least two.
See also
biconnected_components(), components(),
is_connected(), vertex_connectivity(),
edge_connectivity()
Connected components
biconnected_components(),
component_distribution(),
decompose(),
is_biconnected()
Author
Gabor Csardi csardi.gabor@gmail.com
Examples
g <- disjoint_union(make_full_graph(5), make_full_graph(5))
clu <- components(g)$membership
g <- add_edges(g, c(match(1, clu), match(2, clu)))
articulation_points(g)
#> + 2/10 vertices, from d93027e:
#> [1] 6 1
g <- make_graph("krackhardt_kite")
bridges(g)
#> + 2/18 edges from 69b7f65:
#> [1] 9--10 8-- 9