This function counts the different subgraphs of three nodes in a multiplex directed and undirected network.
Value
This function gives the counts of the mixed multiplex triad census for a directed and an undirected network.
References
Espinosa-Rada, A. (2021). A Network Approach for the Sociological Study of Science: Modelling Dynamic Multilevel Networks. [PhD]. The University of Manchester.
Examples
# SOAR
A <- matrix(
c(
0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1,
0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1,
0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
),
byrow = TRUE, ncol = 12
)
B <- matrix(
c(
0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0,
0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
),
byrow = TRUE, ncol = 12
)
multiplex_census(A, B)
#> 003_003 003_102 003_201 003_300
#> 17 52 22 20
#> 012_003 012_102a 012_102b 012_102c
#> 113 52 43 46
#> 012_201b 012_201ac 012_300 021u_003
#> 43 39 40 79
#> 021u_102ac 021u_102b 021u_201ab 021u_201c
#> 12 14 9 5
#> 021u_300 021d_003 021d_102ac 021d_120b
#> 6 91 20 18
#> 021d_201ab 021d_201c 021d_300 102_003_102a
#> 20 17 17 15
#> 102_102bc_201ac 102_300 021c_003 021c_102a
#> 2 3 80 9
#> 021c_103b 021c_102c 021c_210ab 021c_201c
#> 7 13 9 6
#> 021c_300 030t_003 030t_102ab 030t_102b
#> 7 82 10 17
#> 030t_102c 030t_210ab 030t_201c_300 030c_003
#> 10 12 9 74
#> 030c_102abc 030c_201abc 030c_300 111d_003
#> 1 3 1 76
#> 111d_102a_201a 111d_102b 111d_102c_201b 111d_201c_300
#> 5 7 2 3
#> 111u_003 111u_102a_201a 111u_102bc_201b 111u_201c_300
#> 76 5 2 3
#> 120u_003_102b 120u_102ab_201ab 120u_201c_300 120d_003_120b
#> 13 8 5 3
#> 120d_102ab_201ab 120d_201c_300 201_003 201_102ac_201ab
#> 5 2 74 0
#> 201_102c_201bc_300 120c_003 120c_120c 120c_210
#> 1 75 2 4
#> 120c_300 210_003_210 210_300 300_003_300
#> 2 3 1 1