This is a collection of functions that convert a graph stored as an
igraph object into a desired matrix representation
among adjacency matrix, graph laplacian, modularity matrix or graphon (edge
probability matrix).
repr_adjacency(network, validate = TRUE)
repr_laplacian(network, validate = TRUE)
repr_modularity(network, validate = TRUE)
repr_graphon(network, validate = TRUE)An igraph object.
A boolean specifying whether the function should check the
class of its input (default: TRUE).
A numeric square matrix giving the desired network representation recorded in the object's class.
g <- igraph::sample_smallworld(1, 25, 3, 0.05)
repr_adjacency(g)
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 0 1 1 1 0 0 0 0 0 0 0 0 0
#> [2,] 1 0 1 1 1 0 0 0 0 0 0 0 0
#> [3,] 1 1 0 1 1 1 0 0 0 0 0 0 0
#> [4,] 1 1 1 0 1 1 1 0 0 0 0 0 0
#> [5,] 0 1 1 1 0 1 1 1 0 0 0 0 0
#> [6,] 0 0 1 1 1 0 1 1 1 0 0 0 0
#> [7,] 0 0 0 1 1 1 0 1 1 1 0 0 0
#> [8,] 0 0 0 0 1 1 1 0 1 1 1 0 0
#> [9,] 0 0 0 0 0 1 1 1 0 1 1 0 0
#> [10,] 0 0 0 0 0 0 1 1 1 0 0 0 1
#> [11,] 0 0 0 0 0 0 0 1 1 0 0 1 1
#> [12,] 0 0 0 0 0 0 0 0 0 0 1 0 1
#> [13,] 0 0 0 0 0 0 0 0 0 1 1 1 0
#> [14,] 0 0 0 0 0 0 0 0 0 0 1 0 1
#> [15,] 0 0 1 0 0 0 0 0 1 0 0 1 1
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0 1
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 1 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 1 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 1 0
#> [22,] 0 0 0 0 0 0 0 0 1 0 0 0 0
#> [23,] 1 0 0 0 0 0 0 0 0 1 0 0 0
#> [24,] 1 1 0 0 0 0 0 0 0 0 0 0 0
#> [25,] 1 0 1 0 0 0 0 0 1 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 0 0 0 0 0 0 0 0 0 1 1 1
#> [2,] 0 0 0 0 0 0 0 0 0 0 1 0
#> [3,] 0 1 0 0 0 0 0 0 0 0 0 1
#> [4,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [5,] 0 0 0 0 0 0 1 0 0 0 0 0
#> [6,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 1 0 0 0 0 0 0 1 0 0 1
#> [10,] 0 0 0 0 1 0 0 0 0 1 0 0
#> [11,] 1 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 1 0 0 0 0 0 1 0 0 0 0
#> [13,] 1 1 1 0 0 0 0 0 0 0 0 0
#> [14,] 0 1 1 1 0 0 0 0 0 0 0 0
#> [15,] 1 0 0 1 1 0 0 0 0 0 0 0
#> [16,] 1 0 0 1 1 1 0 0 0 0 0 0
#> [17,] 1 1 1 0 1 1 1 0 0 0 0 0
#> [18,] 0 1 1 1 0 1 1 1 0 1 0 0
#> [19,] 0 0 1 1 1 0 0 1 0 0 0 0
#> [20,] 0 0 0 1 1 0 0 1 1 1 0 0
#> [21,] 0 0 0 0 1 1 1 0 1 1 1 0
#> [22,] 0 0 0 0 0 0 1 1 0 1 1 1
#> [23,] 0 0 0 0 1 0 1 1 1 0 0 1
#> [24,] 0 0 0 0 0 0 0 1 1 0 0 1
#> [25,] 0 0 0 0 0 0 0 0 1 1 1 0
#> attr(,"representation")
#> [1] "adjacency"
repr_laplacian(g)
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
#> [1,] 6 -1 -1 -1 0 0 0 0 0 0 0 0 0
#> [2,] -1 5 -1 -1 -1 0 0 0 0 0 0 0 0
#> [3,] -1 -1 7 -1 -1 -1 0 0 0 0 0 0 0
#> [4,] -1 -1 -1 6 -1 -1 -1 0 0 0 0 0 0
#> [5,] 0 -1 -1 -1 7 -1 -1 -1 0 0 0 0 0
#> [6,] 0 0 -1 -1 -1 6 -1 -1 -1 0 0 0 0
#> [7,] 0 0 0 -1 -1 -1 6 -1 -1 -1 0 0 0
#> [8,] 0 0 0 0 -1 -1 -1 6 -1 -1 -1 0 0
#> [9,] 0 0 0 0 0 -1 -1 -1 8 -1 -1 0 0
#> [10,] 0 0 0 0 0 0 -1 -1 -1 6 0 0 -1
#> [11,] 0 0 0 0 0 0 0 -1 -1 0 5 -1 -1
#> [12,] 0 0 0 0 0 0 0 0 0 0 -1 4 -1
#> [13,] 0 0 0 0 0 0 0 0 0 -1 -1 -1 6
#> [14,] 0 0 0 0 0 0 0 0 0 0 -1 0 -1
#> [15,] 0 0 -1 0 0 0 0 0 -1 0 0 -1 -1
#> [16,] 0 0 0 0 0 0 0 0 0 0 0 0 -1
#> [17,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 -1 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 -1 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0 0 -1 0
#> [22,] 0 0 0 0 0 0 0 0 -1 0 0 0 0
#> [23,] -1 0 0 0 0 0 0 0 0 -1 0 0 0
#> [24,] -1 -1 0 0 0 0 0 0 0 0 0 0 0
#> [25,] -1 0 -1 0 0 0 0 0 -1 0 0 0 0
#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] 0 0 0 0 0 0 0 0 0 -1 -1 -1
#> [2,] 0 0 0 0 0 0 0 0 0 0 -1 0
#> [3,] 0 -1 0 0 0 0 0 0 0 0 0 -1
#> [4,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [5,] 0 0 0 0 0 0 -1 0 0 0 0 0
#> [6,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [7,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 -1 0 0 0 0 0 0 -1 0 0 -1
#> [10,] 0 0 0 0 -1 0 0 0 0 -1 0 0
#> [11,] -1 0 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 -1 0 0 0 0 0 -1 0 0 0 0
#> [13,] -1 -1 -1 0 0 0 0 0 0 0 0 0
#> [14,] 5 -1 -1 -1 0 0 0 0 0 0 0 0
#> [15,] -1 7 0 -1 -1 0 0 0 0 0 0 0
#> [16,] -1 0 5 -1 -1 -1 0 0 0 0 0 0
#> [17,] -1 -1 -1 6 -1 -1 -1 0 0 0 0 0
#> [18,] 0 -1 -1 -1 8 -1 -1 -1 0 -1 0 0
#> [19,] 0 0 -1 -1 -1 4 0 -1 0 0 0 0
#> [20,] 0 0 0 -1 -1 0 6 -1 -1 -1 0 0
#> [21,] 0 0 0 0 -1 -1 -1 7 -1 -1 -1 0
#> [22,] 0 0 0 0 0 0 -1 -1 6 -1 -1 -1
#> [23,] 0 0 0 0 -1 0 -1 -1 -1 7 0 -1
#> [24,] 0 0 0 0 0 0 0 -1 -1 0 5 -1
#> [25,] 0 0 0 0 0 0 0 0 -1 -1 -1 6
#> attr(,"representation")
#> [1] "laplacian"
repr_modularity(g)
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#> [1,] -0.24 0.8000000 0.7200000 0.76 -0.2800000 -0.24 -0.24 -0.24 -0.3200000
#> [2,] 0.80 -0.1666667 0.7666667 0.80 0.7666667 -0.20 -0.20 -0.20 -0.2666667
#> [3,] 0.72 0.7666667 -0.3266667 0.72 0.6733333 0.72 -0.28 -0.28 -0.3733333
#> [4,] 0.76 0.8000000 0.7200000 -0.24 0.7200000 0.76 0.76 -0.24 -0.3200000
#> [5,] -0.28 0.7666667 0.6733333 0.72 -0.3266667 0.72 0.72 0.72 -0.3733333
#> [6,] -0.24 -0.2000000 0.7200000 0.76 0.7200000 -0.24 0.76 0.76 0.6800000
#> [7,] -0.24 -0.2000000 -0.2800000 0.76 0.7200000 0.76 -0.24 0.76 0.6800000
#> [8,] -0.24 -0.2000000 -0.2800000 -0.24 0.7200000 0.76 0.76 -0.24 0.6800000
#> [9,] -0.32 -0.2666667 -0.3733333 -0.32 -0.3733333 0.68 0.68 0.68 -0.4266667
#> [10,] -0.24 -0.2000000 -0.2800000 -0.24 -0.2800000 -0.24 0.76 0.76 0.6800000
#> [11,] -0.20 -0.1666667 -0.2333333 -0.20 -0.2333333 -0.20 -0.20 0.80 0.7333333
#> [12,] -0.16 -0.1333333 -0.1866667 -0.16 -0.1866667 -0.16 -0.16 -0.16 -0.2133333
#> [13,] -0.24 -0.2000000 -0.2800000 -0.24 -0.2800000 -0.24 -0.24 -0.24 -0.3200000
#> [14,] -0.20 -0.1666667 -0.2333333 -0.20 -0.2333333 -0.20 -0.20 -0.20 -0.2666667
#> [15,] -0.28 -0.2333333 0.6733333 -0.28 -0.3266667 -0.28 -0.28 -0.28 0.6266667
#> [16,] -0.20 -0.1666667 -0.2333333 -0.20 -0.2333333 -0.20 -0.20 -0.20 -0.2666667
#> [17,] -0.24 -0.2000000 -0.2800000 -0.24 -0.2800000 -0.24 -0.24 -0.24 -0.3200000
#> [18,] -0.32 -0.2666667 -0.3733333 -0.32 -0.3733333 -0.32 -0.32 -0.32 -0.4266667
#> [19,] -0.16 -0.1333333 -0.1866667 -0.16 -0.1866667 -0.16 -0.16 -0.16 -0.2133333
#> [20,] -0.24 -0.2000000 -0.2800000 -0.24 0.7200000 -0.24 -0.24 -0.24 -0.3200000
#> [21,] -0.28 -0.2333333 -0.3266667 -0.28 -0.3266667 -0.28 -0.28 -0.28 -0.3733333
#> [22,] -0.24 -0.2000000 -0.2800000 -0.24 -0.2800000 -0.24 -0.24 -0.24 0.6800000
#> [23,] 0.72 -0.2333333 -0.3266667 -0.28 -0.3266667 -0.28 -0.28 -0.28 -0.3733333
#> [24,] 0.80 0.8333333 -0.2333333 -0.20 -0.2333333 -0.20 -0.20 -0.20 -0.2666667
#> [25,] 0.76 -0.2000000 0.7200000 -0.24 -0.2800000 -0.24 -0.24 -0.24 0.6800000
#> [,10] [,11] [,12] [,13] [,14] [,15] [,16] [,17]
#> [1,] -0.24 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [2,] -0.20 -0.1666667 -0.1333333 -0.20 -0.1666667 -0.2333333 -0.1666667 -0.20
#> [3,] -0.28 -0.2333333 -0.1866667 -0.28 -0.2333333 0.6733333 -0.2333333 -0.28
#> [4,] -0.24 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [5,] -0.28 -0.2333333 -0.1866667 -0.28 -0.2333333 -0.3266667 -0.2333333 -0.28
#> [6,] -0.24 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [7,] 0.76 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [8,] 0.76 0.8000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [9,] 0.68 0.7333333 -0.2133333 -0.32 -0.2666667 0.6266667 -0.2666667 -0.32
#> [10,] -0.24 -0.2000000 -0.1600000 0.76 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [11,] -0.20 -0.1666667 0.8666667 0.80 0.8333333 -0.2333333 -0.1666667 -0.20
#> [12,] -0.16 0.8666667 -0.1066667 0.84 -0.1333333 0.8133333 -0.1333333 -0.16
#> [13,] 0.76 0.8000000 0.8400000 -0.24 0.8000000 0.7200000 0.8000000 -0.24
#> [14,] -0.20 0.8333333 -0.1333333 0.80 -0.1666667 0.7666667 0.8333333 0.80
#> [15,] -0.28 -0.2333333 0.8133333 0.72 0.7666667 -0.3266667 -0.2333333 0.72
#> [16,] -0.20 -0.1666667 -0.1333333 0.80 0.8333333 -0.2333333 -0.1666667 0.80
#> [17,] -0.24 -0.2000000 -0.1600000 -0.24 0.8000000 0.7200000 0.8000000 -0.24
#> [18,] 0.68 -0.2666667 -0.2133333 -0.32 -0.2666667 0.6266667 0.7333333 0.68
#> [19,] -0.16 -0.1333333 -0.1066667 -0.16 -0.1333333 -0.1866667 0.8666667 0.84
#> [20,] -0.24 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 0.76
#> [21,] -0.28 -0.2333333 0.8133333 -0.28 -0.2333333 -0.3266667 -0.2333333 -0.28
#> [22,] -0.24 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [23,] 0.72 -0.2333333 -0.1866667 -0.28 -0.2333333 -0.3266667 -0.2333333 -0.28
#> [24,] -0.20 -0.1666667 -0.1333333 -0.20 -0.1666667 -0.2333333 -0.1666667 -0.20
#> [25,] -0.24 -0.2000000 -0.1600000 -0.24 -0.2000000 -0.2800000 -0.2000000 -0.24
#> [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
#> [1,] -0.3200000 -0.1600000 -0.24 -0.2800000 -0.24 0.7200000 0.8000000 0.76
#> [2,] -0.2666667 -0.1333333 -0.20 -0.2333333 -0.20 -0.2333333 0.8333333 -0.20
#> [3,] -0.3733333 -0.1866667 -0.28 -0.3266667 -0.28 -0.3266667 -0.2333333 0.72
#> [4,] -0.3200000 -0.1600000 -0.24 -0.2800000 -0.24 -0.2800000 -0.2000000 -0.24
#> [5,] -0.3733333 -0.1866667 0.72 -0.3266667 -0.28 -0.3266667 -0.2333333 -0.28
#> [6,] -0.3200000 -0.1600000 -0.24 -0.2800000 -0.24 -0.2800000 -0.2000000 -0.24
#> [7,] -0.3200000 -0.1600000 -0.24 -0.2800000 -0.24 -0.2800000 -0.2000000 -0.24
#> [8,] -0.3200000 -0.1600000 -0.24 -0.2800000 -0.24 -0.2800000 -0.2000000 -0.24
#> [9,] -0.4266667 -0.2133333 -0.32 -0.3733333 0.68 -0.3733333 -0.2666667 0.68
#> [10,] 0.6800000 -0.1600000 -0.24 -0.2800000 -0.24 0.7200000 -0.2000000 -0.24
#> [11,] -0.2666667 -0.1333333 -0.20 -0.2333333 -0.20 -0.2333333 -0.1666667 -0.20
#> [12,] -0.2133333 -0.1066667 -0.16 0.8133333 -0.16 -0.1866667 -0.1333333 -0.16
#> [13,] -0.3200000 -0.1600000 -0.24 -0.2800000 -0.24 -0.2800000 -0.2000000 -0.24
#> [14,] -0.2666667 -0.1333333 -0.20 -0.2333333 -0.20 -0.2333333 -0.1666667 -0.20
#> [15,] 0.6266667 -0.1866667 -0.28 -0.3266667 -0.28 -0.3266667 -0.2333333 -0.28
#> [16,] 0.7333333 0.8666667 -0.20 -0.2333333 -0.20 -0.2333333 -0.1666667 -0.20
#> [17,] 0.6800000 0.8400000 0.76 -0.2800000 -0.24 -0.2800000 -0.2000000 -0.24
#> [18,] -0.4266667 0.7866667 0.68 0.6266667 -0.32 0.6266667 -0.2666667 -0.32
#> [19,] 0.7866667 -0.1066667 -0.16 0.8133333 -0.16 -0.1866667 -0.1333333 -0.16
#> [20,] 0.6800000 -0.1600000 -0.24 0.7200000 0.76 0.7200000 -0.2000000 -0.24
#> [21,] 0.6266667 0.8133333 0.72 -0.3266667 0.72 0.6733333 0.7666667 -0.28
#> [22,] -0.3200000 -0.1600000 0.76 0.7200000 -0.24 0.7200000 0.8000000 0.76
#> [23,] 0.6266667 -0.1866667 0.72 0.6733333 0.72 -0.3266667 -0.2333333 0.72
#> [24,] -0.2666667 -0.1333333 -0.20 0.7666667 0.80 -0.2333333 -0.1666667 0.80
#> [25,] -0.3200000 -0.1600000 -0.24 -0.2800000 0.76 0.7200000 0.8000000 -0.24
#> attr(,"representation")
#> [1] "modularity"
repr_graphon(g)
#> [,1] [,2] [,3] [,4] [,5] [,6]
#> [1,] 0.55555556 0.59027778 0.61904762 0.52777778 0.38888889 0.30952381
#> [2,] 0.59027778 0.50000000 0.66964286 0.56250000 0.64583333 0.33035714
#> [3,] 0.61904762 0.66964286 0.57142857 0.69047619 0.61904762 0.57142857
#> [4,] 0.52777778 0.56250000 0.69047619 0.66666667 0.83333333 0.61904762
#> [5,] 0.38888889 0.64583333 0.61904762 0.83333333 0.66666667 0.69047619
#> [6,] 0.30952381 0.33035714 0.57142857 0.61904762 0.69047619 0.57142857
#> [7,] 0.33333333 0.29166667 0.36507937 0.61111111 0.58333333 0.63492063
#> [8,] 0.18253968 0.19642857 0.28571429 0.30952381 0.53571429 0.57142857
#> [9,] 0.30952381 0.33035714 0.14285714 0.38095238 0.38095238 0.64285714
#> [10,] 0.05555556 0.06250000 0.18253968 0.19444444 0.30555556 0.25396825
#> [11,] 0.00000000 0.00000000 0.11111111 0.19444444 0.11111111 0.12698413
#> [12,] 0.07142857 0.07142857 0.00000000 0.00000000 0.00000000 0.00000000
#> [13,] 0.00000000 0.00000000 0.00000000 0.05555556 0.11111111 0.18253968
#> [14,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#> [15,] 0.05555556 0.06250000 0.19642857 0.08333333 0.08333333 0.00000000
#> [16,] 0.00000000 0.00000000 0.05555556 0.00000000 0.05555556 0.00000000
#> [17,] 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
#> [18,] 0.05555556 0.00000000 0.00000000 0.00000000 0.05555556 0.07142857
#> [19,] 0.07142857 0.07142857 0.00000000 0.00000000 0.07142857 0.00000000
#> [20,] 0.27777778 0.05555556 0.12698413 0.08333333 0.13888889 0.07142857
#> [21,] 0.27777778 0.06250000 0.15476190 0.00000000 0.08333333 0.00000000
#> [22,] 0.29861111 0.25000000 0.19642857 0.06250000 0.06250000 0.00000000
#> [23,] 0.36666667 0.22500000 0.07142857 0.00000000 0.18333333 0.07142857
#> [24,] 0.50793651 0.40178571 0.35714286 0.15476190 0.22619048 0.14285714
#> [25,] 0.44444444 0.35416667 0.49206349 0.25000000 0.38888889 0.05555556
#> [,7] [,8] [,9] [,10] [,11] [,12]
#> [1,] 0.33333333 0.18253968 0.3095238 0.05555556 0.00000000 0.07142857
#> [2,] 0.29166667 0.19642857 0.3303571 0.06250000 0.00000000 0.07142857
#> [3,] 0.36507937 0.28571429 0.1428571 0.18253968 0.11111111 0.00000000
#> [4,] 0.61111111 0.30952381 0.3809524 0.19444444 0.19444444 0.00000000
#> [5,] 0.58333333 0.53571429 0.3809524 0.30555556 0.11111111 0.00000000
#> [6,] 0.63492063 0.57142857 0.6428571 0.25396825 0.12698413 0.00000000
#> [7,] 0.55555556 0.63492063 0.4920635 0.27777778 0.16666667 0.05555556
#> [8,] 0.63492063 0.57142857 0.5000000 0.50793651 0.43650794 0.14285714
#> [9,] 0.49206349 0.50000000 0.2857143 0.74603175 0.49206349 0.14285714
#> [10,] 0.27777778 0.50793651 0.7460317 0.22222222 0.16666667 0.12698413
#> [11,] 0.16666667 0.43650794 0.4920635 0.16666667 0.33333333 0.38095238
#> [12,] 0.05555556 0.14285714 0.1428571 0.12698413 0.38095238 0.28571429
#> [13,] 0.16666667 0.18253968 0.1666667 0.33333333 0.55555556 0.39682540
#> [14,] 0.05555556 0.14285714 0.1428571 0.18253968 0.43650794 0.35714286
#> [15,] 0.18055556 0.39285714 0.5892857 0.00000000 0.16666667 0.46428571
#> [16,] 0.05555556 0.18253968 0.2380952 0.00000000 0.22222222 0.32539683
#> [17,] 0.00000000 0.00000000 0.0000000 0.25396825 0.30952381 0.35714286
#> [18,] 0.05555556 0.07142857 0.1269841 0.33333333 0.27777778 0.25396825
#> [19,] 0.00000000 0.00000000 0.0000000 0.05555556 0.19841270 0.07142857
#> [20,] 0.11111111 0.05555556 0.3095238 0.11111111 0.00000000 0.05555556
#> [21,] 0.00000000 0.00000000 0.2380952 0.19444444 0.05555556 0.29761905
#> [22,] 0.06250000 0.13392857 0.3303571 0.17361111 0.00000000 0.13392857
#> [23,] 0.05555556 0.07142857 0.1000000 0.32222222 0.05555556 0.10000000
#> [24,] 0.12698413 0.00000000 0.1428571 0.18253968 0.00000000 0.00000000
#> [25,] 0.22222222 0.18253968 0.4365079 0.05555556 0.00000000 0.07142857
#> [,13] [,14] [,15] [,16] [,17] [,18]
#> [1,] 0.00000000 0.00000000 0.05555556 0.00000000 0.00000000 0.05555556
#> [2,] 0.00000000 0.00000000 0.06250000 0.00000000 0.00000000 0.00000000
#> [3,] 0.00000000 0.00000000 0.19642857 0.05555556 0.00000000 0.00000000
#> [4,] 0.05555556 0.00000000 0.08333333 0.00000000 0.00000000 0.00000000
#> [5,] 0.11111111 0.00000000 0.08333333 0.05555556 0.00000000 0.05555556
#> [6,] 0.18253968 0.00000000 0.00000000 0.00000000 0.00000000 0.07142857
#> [7,] 0.16666667 0.05555556 0.18055556 0.05555556 0.00000000 0.05555556
#> [8,] 0.18253968 0.14285714 0.39285714 0.18253968 0.00000000 0.07142857
#> [9,] 0.16666667 0.14285714 0.58928571 0.23809524 0.00000000 0.12698413
#> [10,] 0.33333333 0.18253968 0.00000000 0.00000000 0.25396825 0.33333333
#> [11,] 0.55555556 0.43650794 0.16666667 0.22222222 0.30952381 0.27777778
#> [12,] 0.39682540 0.35714286 0.46428571 0.32539683 0.35714286 0.25396825
#> [13,] 0.44444444 0.50793651 0.72222222 0.55555556 0.30952381 0.22222222
#> [14,] 0.50793651 0.57142857 0.66071429 0.50793651 0.42857143 0.32539683
#> [15,] 0.72222222 0.66071429 0.00000000 0.16666667 0.53571429 0.59722222
#> [16,] 0.55555556 0.50793651 0.16666667 0.33333333 0.63492063 0.61111111
#> [17,] 0.30952381 0.42857143 0.53571429 0.63492063 0.57142857 0.50793651
#> [18,] 0.22222222 0.32539683 0.59722222 0.61111111 0.50793651 0.55555556
#> [19,] 0.32539683 0.28571429 0.33928571 0.32539683 0.57142857 0.45238095
#> [20,] 0.16666667 0.12698413 0.00000000 0.11111111 0.38095238 0.61111111
#> [21,] 0.11111111 0.22619048 0.08333333 0.25000000 0.22619048 0.61111111
#> [22,] 0.06250000 0.00000000 0.00000000 0.05555556 0.13392857 0.41666667
#> [23,] 0.00000000 0.00000000 0.12500000 0.11111111 0.24285714 0.52222222
#> [24,] 0.00000000 0.00000000 0.00000000 0.00000000 0.14285714 0.25396825
#> [25,] 0.05555556 0.00000000 0.00000000 0.00000000 0.05555556 0.22222222
#> [,19] [,20] [,21] [,22] [,23] [,24]
#> [1,] 0.07142857 0.27777778 0.27777778 0.29861111 0.36666667 0.5079365
#> [2,] 0.07142857 0.05555556 0.06250000 0.25000000 0.22500000 0.4017857
#> [3,] 0.00000000 0.12698413 0.15476190 0.19642857 0.07142857 0.3571429
#> [4,] 0.00000000 0.08333333 0.00000000 0.06250000 0.00000000 0.1547619
#> [5,] 0.07142857 0.13888889 0.08333333 0.06250000 0.18333333 0.2261905
#> [6,] 0.00000000 0.07142857 0.00000000 0.00000000 0.07142857 0.1428571
#> [7,] 0.00000000 0.11111111 0.00000000 0.06250000 0.05555556 0.1269841
#> [8,] 0.00000000 0.05555556 0.00000000 0.13392857 0.07142857 0.0000000
#> [9,] 0.00000000 0.30952381 0.23809524 0.33035714 0.10000000 0.1428571
#> [10,] 0.05555556 0.11111111 0.19444444 0.17361111 0.32222222 0.1825397
#> [11,] 0.19841270 0.00000000 0.05555556 0.00000000 0.05555556 0.0000000
#> [12,] 0.07142857 0.05555556 0.29761905 0.13392857 0.10000000 0.0000000
#> [13,] 0.32539683 0.16666667 0.11111111 0.06250000 0.00000000 0.0000000
#> [14,] 0.28571429 0.12698413 0.22619048 0.00000000 0.00000000 0.0000000
#> [15,] 0.33928571 0.00000000 0.08333333 0.00000000 0.12500000 0.0000000
#> [16,] 0.32539683 0.11111111 0.25000000 0.05555556 0.11111111 0.0000000
#> [17,] 0.57142857 0.38095238 0.22619048 0.13392857 0.24285714 0.1428571
#> [18,] 0.45238095 0.61111111 0.61111111 0.41666667 0.52222222 0.2539683
#> [19,] 0.28571429 0.18253968 0.45238095 0.20535714 0.17142857 0.0000000
#> [20,] 0.18253968 0.33333333 0.61111111 0.46527778 0.57777778 0.3095238
#> [21,] 0.45238095 0.61111111 0.50000000 0.58333333 0.73333333 0.5357143
#> [22,] 0.20535714 0.46527778 0.58333333 0.62500000 0.77500000 0.5357143
#> [23,] 0.17142857 0.57777778 0.73333333 0.77500000 0.60000000 0.4857143
#> [24,] 0.00000000 0.30952381 0.53571429 0.53571429 0.48571429 0.4285714
#> [25,] 0.07142857 0.22222222 0.33333333 0.41666667 0.57777778 0.5079365
#> [,25]
#> [1,] 0.44444444
#> [2,] 0.35416667
#> [3,] 0.49206349
#> [4,] 0.25000000
#> [5,] 0.38888889
#> [6,] 0.05555556
#> [7,] 0.22222222
#> [8,] 0.18253968
#> [9,] 0.43650794
#> [10,] 0.05555556
#> [11,] 0.00000000
#> [12,] 0.07142857
#> [13,] 0.05555556
#> [14,] 0.00000000
#> [15,] 0.00000000
#> [16,] 0.00000000
#> [17,] 0.05555556
#> [18,] 0.22222222
#> [19,] 0.07142857
#> [20,] 0.22222222
#> [21,] 0.33333333
#> [22,] 0.41666667
#> [23,] 0.57777778
#> [24,] 0.50793651
#> [25,] 0.33333333
#> attr(,"representation")
#> [1] "graphon"