maxClique {RBGL} | R Documentation

## Find all the cliques in a graph

### Description

Find all the cliques in a graph

### Usage

    maxClique(g, nodes=NULL, edgeMat=NULL)

### Arguments

`g` | an instance of the `graph` class
`nodes` | vector of node names, to be supplied if `g` is not
`edgeMat` | 2 x p matrix with indices of edges in nodes, one-based, only to be supplied if codeg is not

### Details

Notice the maximum clique problem is NP-complete, which means it cannot be solved by any known polynomial algorithm.

We implemented the algorithm by C. Bron and J. Kerbosch,

It is an error to supply both `g` and either of the other arguments.

If `g` is not supplied, no checking of the consistency of `nodes` and `edgeMat` is performed.

### Value

`maxClique` | list of all cliques in `g`

### Author(s)

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

### References

Finding all cliques of an undirected graph, by C. Bron and J. Kerbosch, Communication of ACM, Sept 1973, Vol 16, No. 9.

### Examples

    con1 <- file(system.file("XML/conn.gxl",package="RBGL"), open="r")
    coex <- fromGXL(con1)
    close(con1)

    maxClique(coex)

    con2 <- file(system.file("XML/hcs.gxl",package="RBGL"), open="r")
    coex <- fromGXL(con2)
    close(con2)

    maxClique(coex)

[Package RBGL version 1.60.0 Index]