A biconnected graph is a connected graph that remains connected when
any one of its vertices, and all the edges incident on this vertex,
is removed and the graph remains connected.
A biconnected component of a graph is a subgraph which is biconnected. An
integer label is assigned to each edge to indicate which biconnected component
it's in.
A vertex in a graph is called an articulation point if removing it increases
the number of connected components.
See the documentation for the Boost Graph Library for more details.
Value
For biConnComp:
a vector whose length is no. of biconnected components, each entry is a list
of nodes that are on the same biconnected components.
For articulationPoints:
a vector of articulation points in the graph.
The Boost Graph Library: User Guide and Reference Manual;
by Jeremy G. Siek, Lie-Quan Lee, and Andrew Lumsdaine;
(Addison-Wesley, Pearson Education Inc., 2002), xxiv+321pp.
ISBN 0-201-72914-8
Examples
con <- file(system.file("XML/conn.gxl",package="RBGL"), open="r")
coex <- fromGXL(con)
close(con)
biConnComp(coex)
articulationPoints(coex)
Results
R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
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> library(RBGL)
Loading required package: graph
Loading required package: BiocGenerics
Loading required package: parallel
Attaching package: 'BiocGenerics'
The following objects are masked from 'package:parallel':
clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,
clusterExport, clusterMap, parApply, parCapply, parLapply,
parLapplyLB, parRapply, parSapply, parSapplyLB
The following objects are masked from 'package:stats':
IQR, mad, xtabs
The following objects are masked from 'package:base':
Filter, Find, Map, Position, Reduce, anyDuplicated, append,
as.data.frame, cbind, colnames, do.call, duplicated, eval, evalq,
get, grep, grepl, intersect, is.unsorted, lapply, lengths, mapply,
match, mget, order, paste, pmax, pmax.int, pmin, pmin.int, rank,
rbind, rownames, sapply, setdiff, sort, table, tapply, union,
unique, unsplit
> png(filename="/home/ddbj/snapshot/RGM3/R_BC/result/RBGL/biConnComp.Rd_%03d_medium.png", width=480, height=480)
> ### Name: biConnComp
> ### Title: Compute biconnected components for a graph
> ### Aliases: biConnComp articulationPoints
> ### Keywords: models
>
> ### ** Examples
>
> con <- file(system.file("XML/conn.gxl",package="RBGL"), open="r")
> coex <- fromGXL(con)
> close(con)
>
> biConnComp(coex)
[[1]]
[1] "D" "E" "H" "G" "F"
[[2]]
[1] "A" "B" "C" "D"
> articulationPoints(coex)
[1] "D"
>
>
>
>
>
> dev.off()
null device
1
>