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maxClique

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)

RBGL

An interface to the BOOST graph library

v1.66.0
Artistic-2.0
Authors
Vince Carey <stvjc@channing.harvard.edu>, Li Long <li.long@isb-sib.ch>, R. Gentleman
Initial release

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