Generate random graphs according to the random dot product graph model
Source:R/games.R
sample_dot_product.RdIn 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.
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().
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.
Random graph models (games)
erdos.renyi.game(),
sample_bipartite(),
sample_correlated_gnp_pair(),
sample_correlated_gnp(),
sample_degseq(),
sample_fitness_pl(),
sample_fitness(),
sample_forestfire(),
sample_gnm(),
sample_gnp(),
sample_grg(),
sample_growing(),
sample_hierarchical_sbm(),
sample_islands(),
sample_k_regular(),
sample_last_cit(),
sample_pa_age(),
sample_pa(),
sample_pref(),
sample_sbm(),
sample_smallworld(),
sample_traits_callaway(),
sample_tree(),
sample_()
Author
Gabor Csardi csardi.gabor@gmail.com
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
#> IGRAPH 520ff70 U--- 10 26 --
#> + edges from 520ff70:
#> [1] 1-- 4 1-- 5 1-- 6 1-- 7 1-- 9 2-- 3 2-- 4 2-- 6 2-- 7 2-- 9 3-- 4 3-- 6
#> [13] 3-- 7 4-- 5 4-- 8 4-- 9 5-- 7 5-- 8 5-- 9 5--10 6-- 7 6-- 9 6--10 7--10
#> [25] 8-- 9 8--10
## Sample latent vectors from the surface of the unit sphere
lpvs2 <- sample_sphere_surface(dim = 5, n = 20)
g2 <- sample_dot_product(lpvs2)
g2
#> IGRAPH 8e4fed3 U--- 20 146 --
#> + edges from 8e4fed3:
#> [1] 1-- 2 1-- 4 1-- 5 1-- 6 1-- 7 1-- 8 1-- 9 1--10 1--11 1--13 1--14 1--17
#> [13] 1--18 1--19 1--20 2-- 3 2-- 4 2-- 5 2-- 6 2-- 7 2-- 8 2--11 2--12 2--13
#> [25] 2--14 2--15 2--16 2--17 2--18 2--19 2--20 3-- 4 3-- 5 3-- 6 3-- 9 3--10
#> [37] 3--11 3--12 3--13 3--14 3--15 3--16 3--17 3--19 4-- 5 4-- 6 4-- 7 4-- 8
#> [49] 4-- 9 4--11 4--12 4--15 4--16 4--17 4--18 4--19 4--20 5-- 7 5-- 8 5-- 9
#> [61] 5--10 5--11 5--12 5--14 5--17 5--18 5--19 5--20 6-- 7 6-- 8 6--12 6--13
#> [73] 6--14 6--15 6--16 6--17 6--18 6--19 6--20 7-- 8 7-- 9 7--10 7--11 7--12
#> [85] 7--13 7--14 7--15 7--16 7--17 7--19 7--20 8-- 9 8--10 8--12 8--13 8--14
#> [97] 8--15 8--16 8--17 8--19 8--20 9--10 9--11 9--12 9--13 9--14 9--15 9--17
#> + ... omitted several edges