rsbm returns the adjacency matrix and the cluster labels generated randomly with a Stochastic Block Model.

rsbm(N, pi, mu)

## Arguments

N The size of the graph to generate A numeric vector of length K with clusters proportions (will be normalized to sum up to 1). A numeric matrix of dim K x K with the connectivity pattern to generate. elements in [0,1].

## Value

A list with fields:

• x: the graph adjacency matrix as a dgCMatrix

• K: number of generated clusters

• N: number of vertex

• cl: vector of clusters labels

• pi: clusters proportions

• mu: connectivity matrix

## Details

This function takes the desired graph size, cluster proportions and connectivity matrix as input and sample a graph accordingly together with the clusters labels.

## Examples

simu = rsbm(100,rep(1/5,5),diag(rep(0.1,5))+0.001)