igraph (version 1.3.5)

sample_dot_product: Generate random graphs according to the random dot product graph model

Description

In this model, each vertex is represented by a latent position vector. Probability of an edge between two vertices are given by the dot product of their latent position vectors.

Usage

sample_dot_product(vecs, directed = FALSE)
dot_product(...)

Value

An igraph graph object which is the generated random dot product graph.

Arguments

vecs

A numeric matrix in which each latent position vector is a column.

directed

A logical scalar, TRUE if the generated graph should be directed.

...

Passed to sample_dot_product.

Author

Gabor Csardi

Details

The dot product of the latent position vectors should be in the [0,1] interval, otherwise a warning is given. For negative dot products, no edges are added; dot products that are larger than one always add an edge.

References

Christine Leigh Myers Nickel: Random dot product graphs, a model for social networks. Dissertation, Johns Hopkins University, Maryland, USA, 2006.

See Also

sample_dirichlet, sample_sphere_surface and sample_sphere_volume for sampling position vectors.

Examples

## A randomly generated  graph
lpvs <- matrix(rnorm(200), 20, 10)
lpvs <- apply(lpvs, 2, function(x) { return (abs(x)/sqrt(sum(x^2))) })
g <- sample_dot_product(lpvs)
g

## Sample latent vectors from the surface of the unit sphere
lpvs2 <- sample_sphere_surface(dim=5, n=20)
g2 <- sample_dot_product(lpvs2)
g2