preference.game {igraph} | R Documentation

## Trait-based random generation

### Description

Generation of random graphs based on different vertex types.

### Usage

    preference.game(nodes, types, type.dist=rep(1, types),
        pref.matrix=matrix(1, types, types), directed=FALSE, loops=FALSE)
    asymmetric.preference.game(nodes, types,
        type.dist.matrix=matrix(1,types,types),
        pref.matrix = matrix(1, types, types), loops=FALSE)

### Arguments

`nodes` | The number of vertices in the graphs.
`types` | The number of different vertex types.
`type.dist` | The distribution of the vertex types, a numeric vector of length ‘types’ containing non-negative numbers. The vector will be normed to obtain probabilities.
`type.dist.matrix` | The joint distribution of the in- and out-vertex types.
`pref.matrix` | A square matrix giving the preferences of the vertex types. The matrix has ‘types’ rows and columns.
`directed` | Logical constant, whether to create a directed graph.
`loops` | Logical constant, whether self-loops are allowed in the graph.

### Details

Both models generate random graphs with given vertex types. For `preference.game` the probability that two vertices will be connected depends on their type and is given by the ‘pref.matrix’ argument. This matrix should be symmetric to make sense but this is not checked. The distribution of the different vertes types is given by the ‘type.dist’ vector.

For `asymmetric.preference.game` each vertex has an in-type and an out-type and a directed graph is created. The probability that a directed edge is realized from a vertex with a given out-type to a vertex with a given in-type is given in the ‘pref.matrix’ argument, which can be asymmetric. The joint distribution for the in- and out-types is given in the ‘type.dist.matrix’ argument.

### Author(s)

Tamas Nepusz ntamas@rmki.kfki.hu and Gabor Csardi csardi@rmki.kfki.hu for the R interface

### See Also

`establishment.game`. `callaway.traits.game`

### Examples

    pf <- matrix( c(1, 0, 0, 1), nr=2)
    g <- preference.game(20, 2, pref.matrix=pf)
    ## Not run: tkplot(g, layout=layout.fruchterman.reingold)

    pf <- matrix( c(0, 1, 0, 0), nr=2)
    g <- asymmetric.preference.game(20, 2, pref.matrix=pf)
    ## Not run: tkplot(g, layout=layout.circle)

[Package igraph version 0.5.2 Index]