minCut {RBGL} | R Documentation

## Compute min-cut for an undirected graph

### Description

Compute min-cut for an undirected graph

### Usage

    minCut(g)

### Arguments

`g` | an instance of the `graph` class with `edgemode` “undirected”

### Details

Given an undirected graph G=(V, E) of a single connected component, a cut is a partition of the set of vertices into two non-empty subsets S and V-S, a cost is the number of edges that are incident on one vertex in S and one vertex in V-S. The min-cut problem is to find a cut (S, V-S) of minimum cost.

For simplicity, the returned subset S is the smaller of the two subsets.

### Value

A list of

`mincut` | the number of edges to be severed to obtain the minimum cut
`S` | the smaller subset of vertices in the minimum cut
`V-S` | the other subset of vertices in the minimum cut

### Author(s)

Li Long <li.long@isb-sib.ch>

### 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

### See Also

`edgeConnectivity`

### Examples

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

    minCut(coex)

[Package RBGL version 1.62.1 Index]