rmultsbm function

Generate a graph adjacency matrix using a Stochastic Block Model

rmultsbm returns the multi-graph adjacency matrix and the cluster labels generated randomly with a Multinomial Stochastic Block Model.

rmultsbm(N, pi, mu, lambda)

Arguments

• N: The size of the graph to generate
• pi: A numeric vector of length K with clusters proportions (will be normalized to sum up to 1).
• mu: A numeric array of dim K x K x M with the connectivity pattern to generate. elements in [0,1].
• lambda: A double with the Poisson intensity to generate the total counts

Returns

A list with fields:

• x: the multi-graph adjacency matrix as an array
• K: number of generated clusters
• N: number of vertex
• cl: vector of clusters labels
• pi: clusters proportions
• mu: connectivity matrix
• lambda:

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)