edgeConnectivity

0th

Percentile

computed edge connectivity and min disconnecting set for an undirected graph

computed edge connectivity and min disconnecting set for an undirected graph

Keywords
models
Usage
edgeConnectivity(g)
Arguments
g
an instance of the graph class with edgemode “undirected”
Details

Consider a graph G consisting of a single connected component. The edge connectivity of G is the minimum number of edges in G that can be cut to produce a graph with two (disconnected) components. The set of edges in this cut is called the minimum disconnecting set.

Value

A list:
connectivity
the integer describing the number of edges that must be severed to obtain two components
minDisconSet
a list (of length connectivity) of pairs of node names describing the edges that need to be cut to obtain two components

References

Boost Graph Library ( www.boost.org/libs/graph/doc/index.html )

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

minCut, edmonds.karp.max.flow, push.relabel.max.flow

Aliases
• edgeConnectivity
Examples
con <- file(system.file("XML/conn.gxl",package="RBGL"), open="r")
coex <- fromGXL(con)
close(con)

edgeConnectivity(coex)

Documentation reproduced from package RBGL, version 1.48.1, License: Artistic-2.0

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