Description Usage Arguments Details Value Author(s) References See Also Examples

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.

1 2 3 | ```
sample_dot_product(vecs, directed = FALSE)
dot_product(...)
``` |

`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 |

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.

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

Gabor Csardi csardi.gabor@gmail.com

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

`sample_dirichlet`

, `sample_sphere_surface`

and `sample_sphere_volume`

for sampling position vectors.

1 2 3 4 5 6 7 8 9 10 | ```
## 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
``` |

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