Sampling from a hierarchical stochastic block model of networks.
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()
.
See also
Random graph models (games)
erdos.renyi.game()
,
sample_()
,
sample_bipartite()
,
sample_chung_lu()
,
sample_correlated_gnp()
,
sample_correlated_gnp_pair()
,
sample_degseq()
,
sample_dot_product()
,
sample_fitness()
,
sample_fitness_pl()
,
sample_forestfire()
,
sample_gnm()
,
sample_gnp()
,
sample_grg()
,
sample_growing()
,
sample_islands()
,
sample_k_regular()
,
sample_last_cit()
,
sample_pa()
,
sample_pa_age()
,
sample_pref()
,
sample_sbm()
,
sample_smallworld()
,
sample_traits_callaway()
,
sample_tree()
Author
Gabor Csardi csardi.gabor@gmail.com
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
#> IGRAPH e0b00ec U--- 100 481 -- Hierarchical stochastic block model
#> + attr: name (g/c), m (g/n), rho (g/n), C (g/n), p (g/n)
#> + edges from e0b00ec:
#> [1] 1-- 2 1-- 3 2-- 3 2-- 4 3-- 4 3-- 5 1-- 6 2-- 6 3-- 6 5-- 7
#> [11] 4-- 8 5-- 8 5-- 9 6-- 9 4--10 6--10 7-- 8 8-- 9 8--10 11--12
#> [21] 11--13 12--13 11--14 12--14 13--14 12--15 11--16 12--16 13--16 14--17
#> [31] 16--17 14--18 15--18 15--19 16--19 14--20 15--20 16--20 17--19 18--19
#> [41] 17--20 19--20 21--22 21--23 22--23 21--24 22--24 23--24 21--25 22--25
#> [51] 23--25 21--26 25--27 26--27 25--28 26--28 24--29 25--29 24--30 25--30
#> [61] 27--28 28--29 28--30 29--30 31--32 31--33 32--33 31--34 31--35 32--35
#> [71] 31--36 32--36 33--36 34--37 35--37 36--37 36--38 35--39 34--40 36--40
#> + ... omitted several edges
if (require(Matrix)) {
image(g[])
}