R: Sample the hierarchical stochastic block model

sample_hierarchical_sbm {igraph} | R Documentation

## Sample the hierarchical stochastic block model

### Description

Sampling from a hierarchical stochastic block model of networks.

### Usage

    sample_hierarchical_sbm(n, m, rho, C, p)

    hierarchical_sbm(...)

### Arguments

`n` | Integer scalar, the number of vertices.
`m` | Integer scalar, the number of vertices per block. `n / m` must be integer. Alternatively, an integer vector of block sizes, if not all the blocks have equal sizes.
`rho` | Numeric vector, the fraction of vertices per cluster, within a block. Must sum up to 1, and `rho * m` must be integer for all elements of rho. Alternatively a list of rho vectors, one for each block, if they are not the same for all blocks.
`C` | A square, symmetric numeric matrix, the Bernoulli rates for the clusters within a block. Its size must mach the size of the `rho` vector. Alternatively, a list of square matrices, if the Bernoulli rates differ in different blocks.
`p` | Numeric scalar, the Bernoulli rate of connections between vertices in different blocks.
`...` | Passed to `sample_hierarchical_sbm`.

### Details

The function generates a random graph according to the hierarchical stochastic block model.

### Value

An igraph graph.

### Author(s)

Gabor Csardi csardi.gabor@gmail.com

### See Also

`sbm.game`

### Examples

    ## Ten blocks with three clusters each
    C <- matrix(c(1  , 3/4,   0,
                  3/4,   0, 3/4,
                  0  , 3/4, 3/4), nrow=3)
    g <- sample_hierarchical_sbm(100, 10, rho=c(3, 3, 4)/10, C=C, p=1/20)
    g
    if (require(Matrix)) { image(g[]) }

[Package igraph version 1.3.2 Index]