
Network histogram estimation
multinethist.RdEstimating network histogram for multiplex networks and returning the indices of partitions.
Usage
multinethist(A, h = NA, common_f = FALSE, method = "PLL",
control = nethist_control(), ...)Arguments
- A
Adjacency data for one or more network layers. Accepted formats:
Single-layer: a
matrix,igraphobject, ornetworkobject.Multilayer: a 3D
arrayof dimension \(n \times n \times L\); alistofigraphornetworkobjects (all sharing a common vertex set); or acombined_networksobject fromergm.multi::Networks().
Plain
matrixor sparseMatrixelements inside a list are not accepted because vertex ordering across layers cannot be verified. Use a 3D array instead.When a list of
igraphornetworkobjects is supplied, vertex names are used to align layers if present (viaigraph::vertex_attr(g, "name")ornetwork::network.vertex.names()). If vertex names are absent, positional correspondence is assumed: vertex \(i\) in each layer is treated as the same vertex. All layers must have the same number of vertices, and when names are present they must form the same set.- h
A bandwidth parameter. If
NA, the bandwidth is selected by Olhede and Wolfe (2014). If specified, the user-supplied value is used.- common_f
A logical; if
TRUE, assumes a common network histogram function for all layers.- method
Type of loss function for network histogram. Must be one of
PLL(default) orLSE.LSEis implemented only for single-layer networks. See Details.- control
A control object from
nethist_control. Governsmax_itr,greedy_swap_rule,greedy_stop_threshold, andverbose.- ...
Currently unused.
Value
If the number of layers is greater than 1, it returns an object of class multinethist:
clustera vector of partition indices.thetahata probability array from multinetwork histogram ordered by group labels.rho_hata vector of estimated sparsity parameters.normalized_LLa normalized likelihood from the algorithm.homogeneousa logical variable indicating homogeneous multinetwork histogram.hbandwidth used for estimation.
Details
The \(l\)th layer's multi-network histogram is defined by thetahat/rho_hat. The multinetwork histogram can be plotted using plot() and plot3d().If the number of layers is 1, multinethist() fits a single-layer network histogram, equivalent to nethist().method is only used for single-layer networks. method = "PLL" is for Olhede and Wolfe (2014), and method = "LSE" is for Gao et al. (2015).Note that cluster only shows a partition of vertices, and the index labels are not ordered. For example, vertices in cluster 1 do not have to be more similar to vertices in cluster 2 than to vertices in cluster 10. Hence, users may specify a custom order in plot.multinethist().
References
Song, Y. & Olhede, S. C. (2026). Joint Estimation of Sparse Multilayer Networks via Graph Limits. https://arxiv.org/abs/2608.14536
Olhede, S. C. & Wolfe, P. J. (2014). Network Histograms and Universality of Blockmodel Approximation. Proceedings of the National Academy of Sciences, 111(41), 14722-14727. doi:10.1073/pnas.1400374111
Gao, C., Lu, Y., & Zhou, H. H. (2015). Rate-Optimal Graphon Estimation. The Annals of Statistics, 43(6), 2624-2652. doi:10.1214/15-AOS1354
Examples
# \donttest{
#single-layer network histogram
set.seed(42)
data(polblog)
nethist(polblog)
#>
#> thetahat:
#> [,1] [,2] [,3] [,4] [,5]
#> [1,] 0.2640791476 0.2203039970 0.2550197035 0.1131544380 0.1212234941
#> [2,] 0.2203039970 0.6126331811 0.0108838431 0.2537061362 0.0026271345
#> [3,] 0.2550197035 0.0108838431 0.3306697108 0.0022518296 0.1399887409
#> [4,] 0.1131544380 0.2537061362 0.0022518296 0.0825722983 0.0007506099
#> [5,] 0.1212234941 0.0026271345 0.1399887409 0.0007506099 0.0814307458
#> [6,] 0.1392381310 0.0352786639 0.0568586977 0.0086320135 0.0272096078
#> [7,] 0.0653030587 0.0011259148 0.0516044286 0.0000000000 0.0424094577
#> [8,] 0.1366109964 0.0000000000 0.0658660161 0.0000000000 0.0561080878
#> [9,] 0.0660536686 0.0964533684 0.0003753049 0.0373428411 0.0007506099
#> [10,] 0.0572340026 0.0005629574 0.0180146369 0.0009382623 0.0150121974
#> [11,] 0.0182022894 0.0225182961 0.0000000000 0.0151998499 0.0000000000
#> [12,] 0.0474760743 0.0191405517 0.0015012197 0.0091949709 0.0000000000
#> [13,] 0.0210170764 0.0000000000 0.0088196660 0.0000000000 0.0151998499
#> [14,] 0.0009382623 0.0037530494 0.0007506099 0.0071307938 0.0033777444
#> [15,] 0.0063801839 0.0061925314 0.0000000000 0.0000000000 0.0000000000
#> [16,] 0.0216629500 0.0000000000 0.0025485824 0.0000000000 0.0000000000
#> [,6] [,7] [,8] [,9] [,10]
#> [1,] 0.1392381310 0.0653030587 0.1366109964 0.0660536686 0.0572340026
#> [2,] 0.0352786639 0.0011259148 0.0000000000 0.0964533684 0.0005629574
#> [3,] 0.0568586977 0.0516044286 0.0658660161 0.0003753049 0.0180146369
#> [4,] 0.0086320135 0.0000000000 0.0000000000 0.0373428411 0.0009382623
#> [5,] 0.0272096078 0.0424094577 0.0561080878 0.0007506099 0.0150121974
#> [6,] 0.0152207002 0.0061925314 0.0000000000 0.0031900919 0.0045036592
#> [7,] 0.0061925314 0.0308219178 0.0125727153 0.0000000000 0.0048789642
#> [8,] 0.0000000000 0.0125727153 0.0019025875 0.0000000000 0.0024394821
#> [9,] 0.0031900919 0.0000000000 0.0000000000 0.0163622527 0.0001876525
#> [10,] 0.0045036592 0.0048789642 0.0024394821 0.0001876525 0.0000000000
#> [11,] 0.0050666166 0.0001876525 0.0000000000 0.0030024395 0.0009382623
#> [12,] 0.0000000000 0.0000000000 0.0000000000 0.0026271345 0.0000000000
#> [13,] 0.0000000000 0.0067554888 0.0000000000 0.0000000000 0.0024394821
#> [14,] 0.0001876525 0.0009382623 0.0000000000 0.0000000000 0.0001876525
#> [15,] 0.0030024395 0.0001876525 0.0000000000 0.0035653969 0.0000000000
#> [16,] 0.0000000000 0.0000000000 0.0001061909 0.0000000000 0.0000000000
#> [,11] [,12] [,13] [,14] [,15]
#> [1,] 0.0182022894 0.0474760743 0.0210170764 0.0009382623 0.0063801839
#> [2,] 0.0225182961 0.0191405517 0.0000000000 0.0037530494 0.0061925314
#> [3,] 0.0000000000 0.0015012197 0.0088196660 0.0007506099 0.0000000000
#> [4,] 0.0151998499 0.0091949709 0.0000000000 0.0071307938 0.0000000000
#> [5,] 0.0000000000 0.0000000000 0.0151998499 0.0033777444 0.0000000000
#> [6,] 0.0050666166 0.0000000000 0.0000000000 0.0001876525 0.0030024395
#> [7,] 0.0001876525 0.0000000000 0.0067554888 0.0009382623 0.0001876525
#> [8,] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000
#> [9,] 0.0030024395 0.0026271345 0.0000000000 0.0000000000 0.0035653969
#> [10,] 0.0009382623 0.0000000000 0.0024394821 0.0001876525 0.0000000000
#> [11,] 0.0152207002 0.0007506099 0.0000000000 0.0007506099 0.0000000000
#> [12,] 0.0007506099 0.0003805175 0.0000000000 0.0000000000 0.0031900919
#> [13,] 0.0000000000 0.0000000000 0.0000000000 0.0009382623 0.0000000000
#> [14,] 0.0007506099 0.0000000000 0.0009382623 0.0041856925 0.0000000000
#> [15,] 0.0000000000 0.0031900919 0.0000000000 0.0000000000 0.0030441400
#> [16,] 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.0000000000
#> [,16]
#> [1,] 0.0216629500
#> [2,] 0.0000000000
#> [3,] 0.0025485824
#> [4,] 0.0000000000
#> [5,] 0.0000000000
#> [6,] 0.0000000000
#> [7,] 0.0000000000
#> [8,] 0.0001061909
#> [9,] 0.0000000000
#> [10,] 0.0000000000
#> [11,] 0.0000000000
#> [12,] 0.0000000000
#> [13,] 0.0000000000
#> [14,] 0.0000000000
#> [15,] 0.0000000000
#> [16,] 0.0000000000
#>
#> Method: Profile Likelihood
#>
#> normalized likelihood:
#> -3.05275785402995
#>
#> Available components:
#>
#> [1] "cluster" "thetahat" "rho_hat" "normalized_LL"
#> [5] "MSE" "method" "h"
nethist_polblog <- nethist(polblog)
nethist_polblog_with_h <- nethist(polblog, h = 72)
#multi-network histogram
set.seed(42)
data(IndianVil)
IndianVil
#> , , borrow money
#>
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#> [153,] 0 0 0 0 0 0 0 0 0 0
#> [154,] 0 0 0 0 0 0 0 0 0 0
#> [155,] 0 0 0 0 0 0 0 0 0 0
#> [156,] 0 0 0 0 0 0 0 0 0 0
#> [157,] 0 0 0 0 0 0 0 0 0 0
#> [158,] 0 0 0 0 0 0 0 0 0 0
#> [159,] 0 0 0 0 0 0 0 0 0 0
#> [160,] 0 0 0 0 0 0 0 0 0 0
#> [161,] 0 0 0 0 0 0 0 0 0 0
#> [162,] 0 0 0 0 0 0 0 0 0 0
#> [163,] 0 0 0 0 0 0 0 0 0 0
#> [164,] 0 0 0 0 0 0 0 0 0 0
#> [165,] 0 0 0 0 0 0 0 0 0 0
#> [166,] 0 0 0 0 0 0 0 0 0 0
#> [167,] 0 0 0 0 0 0 0 0 0 0
#> [168,] 0 0 0 0 0 0 0 0 0 0
#> [169,] 0 0 0 0 0 0 0 0 0 0
#> [170,] 0 0 0 0 0 0 0 0 0 0
#> [171,] 0 0 0 0 0 0 0 0 0 0
#> [172,] 0 0 0 0 0 0 0 0 0 0
#> [173,] 0 0 0 0 0 0 0 0 0 0
#> [174,] 0 0 0 0 0 0 0 0 0 0
#> [175,] 0 0 0 0 0 0 0 0 0 0
#> [176,] 0 0 0 0 0 0 0 0 0 0
#> [177,] 0 0 0 0 0 0 0 0 0 0
#> [178,] 0 0 0 0 0 0 0 0 0 0
#> [179,] 0 0 0 0 0 0 0 0 0 0
#> [180,] 0 0 0 0 0 0 0 0 0 0
#> [181,] 0 0 0 0 0 0 0 0 0 0
#> [182,] 0 0 0 0 0 0 0 0 0 0
#> [183,] 0 0 0 0 0 0 0 0 0 0
#> [184,] 0 0 0 0 0 0 0 0 0 0
#> [185,] 0 0 0 0 0 0 0 0 0 0
#> [186,] 0 0 0 0 0 0 0 0 0 0
#> [187,] 0 0 0 0 0 0 0 0 0 0
#> [188,] 0 0 0 0 0 0 0 0 0 0
#> [189,] 0 0 0 0 0 0 0 0 0 0
#> [190,] 0 0 0 0 0 0 0 0 0 0
#> [191,] 0 0 0 0 0 0 0 0 0 0
#> [192,] 0 0 0 0 0 0 0 0 0 0
#> [193,] 0 0 0 0 0 0 0 0 0 0
#> [194,] 0 1 0 0 0 0 0 0 0 0
#> [195,] 0 0 0 0 0 0 0 0 0 0
#> [196,] 0 0 0 0 0 0 0 0 0 0
#> [197,] 0 0 0 0 0 0 0 0 0 0
#> [198,] 0 1 0 0 0 0 0 0 0 0
#> [199,] 0 0 0 0 0 0 0 0 0 0
#> [200,] 0 0 0 0 0 0 0 0 0 0
#> [201,] 0 0 0 0 0 0 0 0 0 0
#> [202,] 1 1 0 0 0 0 1 1 0 0
#> [203,] 0 0 0 0 0 0 0 1 0 0
#> [204,] 0 1 0 0 0 0 0 0 0 0
#> [205,] 1 1 0 0 0 0 0 0 0 0
#> [206,] 1 0 0 0 0 0 0 0 0 0
#> [207,] 1 0 0 0 0 0 0 0 0 0
#> [208,] 0 1 0 0 0 0 0 0 0 0
#> [209,] 1 0 0 0 0 0 0 0 0 0
#> [210,] 0 0 0 0 0 0 0 0 0 0
#> [211,] 0 0 0 0 0 0 0 0 0 0
#> [212,] 0 0 0 0 0 0 0 0 0 0
#> [213,] 0 0 0 0 0 0 0 0 0 0
#> [214,] 0 0 0 0 0 0 0 1 0 0
#> [215,] 0 0 0 0 0 0 1 0 1 0
#> [216,] 0 0 0 0 0 0 0 1 0 0
#> [217,] 0 0 0 0 0 0 0 0 0 0
#> [218,] 0 0 0 0 0 0 0 0 0 0
#> [219,] 0 0 0 0 0 0 0 1 0 0
#> [220,] 0 0 0 0 0 0 0 0 0 0
#> [221,] 0 0 0 0 0 0 0 0 0 1
#> [222,] 0 0 0 0 0 0 0 0 0 1
#> [223,] 0 0 0 0 0 0 0 0 0 1
#> [224,] 0 0 0 0 0 0 0 0 0 0
#> [225,] 0 0 0 0 0 0 0 0 0 0
#> [226,] 0 0 0 0 0 0 0 0 0 1
#> [227,] 0 0 0 0 0 0 0 0 0 0
#> [228,] 0 0 0 0 0 1 0 0 0 1
#> [229,] 0 0 0 0 0 1 0 0 0 1
#> [230,] 0 0 0 0 0 0 0 0 0 0
#> [231,] 0 0 0 0 0 0 0 0 0 0
#> [,218] [,219] [,220] [,221] [,222] [,223] [,224] [,225] [,226] [,227]
#> [1,] 0 0 0 0 0 0 0 0 0 0
#> [2,] 0 1 0 0 0 0 0 0 0 0
#> [3,] 0 0 0 0 0 0 0 0 0 0
#> [4,] 0 0 0 0 0 0 0 0 0 0
#> [5,] 0 0 0 0 0 0 0 0 0 0
#> [6,] 0 0 0 0 0 0 0 0 0 0
#> [7,] 0 0 0 0 0 0 0 0 0 0
#> [8,] 0 0 0 0 0 0 0 0 0 0
#> [9,] 0 0 0 0 0 0 0 0 0 0
#> [10,] 0 0 0 0 0 0 0 0 0 0
#> [11,] 0 0 0 0 0 0 0 0 0 0
#> [12,] 0 0 0 0 0 0 0 0 0 0
#> [13,] 0 0 0 0 0 0 0 0 0 0
#> [14,] 0 0 0 0 0 0 0 0 0 0
#> [15,] 0 0 0 0 0 0 0 0 0 0
#> [16,] 0 0 0 0 0 0 0 0 0 0
#> [17,] 0 0 0 0 0 0 0 0 0 0
#> [18,] 0 0 0 0 0 0 0 0 0 0
#> [19,] 0 0 0 0 0 0 0 0 0 0
#> [20,] 0 0 0 0 0 0 0 0 0 0
#> [21,] 0 0 0 0 0 0 0 0 0 0
#> [22,] 0 0 0 0 0 0 0 0 1 0
#> [23,] 0 0 0 0 0 0 0 0 0 0
#> [24,] 0 0 0 0 0 0 0 0 0 0
#> [25,] 0 0 0 0 0 0 0 0 0 0
#> [26,] 0 0 0 0 0 0 0 0 0 0
#> [27,] 0 0 0 0 0 0 0 0 0 0
#> [28,] 0 0 0 0 0 0 0 0 0 0
#> [29,] 0 0 0 0 0 0 0 0 0 0
#> [30,] 0 0 0 0 0 0 0 0 0 0
#> [31,] 0 0 0 0 0 0 0 0 0 1
#> [32,] 0 0 0 0 0 0 0 0 0 0
#> [33,] 0 0 0 0 0 0 0 0 0 0
#> [34,] 0 0 0 0 0 0 0 0 0 0
#> [35,] 0 0 0 0 0 0 0 0 0 0
#> [36,] 0 0 0 0 0 0 0 0 0 0
#> [37,] 0 0 0 0 0 0 0 0 0 0
#> [38,] 0 0 0 0 0 0 0 0 0 0
#> [39,] 0 0 0 0 0 0 0 0 0 0
#> [40,] 0 0 0 0 0 0 0 0 0 0
#> [41,] 0 0 0 0 0 0 0 0 0 0
#> [42,] 0 0 0 0 0 0 0 0 0 0
#> [43,] 0 0 0 0 0 0 0 0 0 0
#> [44,] 0 0 0 0 0 0 0 0 0 0
#> [45,] 0 0 0 0 0 0 0 0 0 0
#> [46,] 0 0 0 0 0 0 0 0 0 0
#> [47,] 0 0 0 0 0 0 0 0 0 0
#> [48,] 0 0 0 0 0 0 0 0 0 0
#> [49,] 0 0 0 0 0 0 0 0 0 0
#> [50,] 0 0 0 0 0 0 0 0 0 0
#> [51,] 0 0 0 0 0 0 0 0 0 0
#> [52,] 0 0 0 0 0 0 0 0 0 0
#> [53,] 0 0 0 0 0 0 0 0 0 0
#> [54,] 0 0 0 0 0 0 0 0 0 0
#> [55,] 0 0 0 0 0 0 0 0 0 0
#> [56,] 0 0 0 0 0 0 0 0 0 0
#> [57,] 0 0 0 0 0 0 0 0 0 0
#> [58,] 0 0 0 0 0 0 0 0 0 0
#> [59,] 0 0 0 0 0 0 0 0 0 0
#> [60,] 0 0 0 0 0 0 0 0 0 0
#> [61,] 0 0 0 0 0 0 0 0 0 0
#> [62,] 0 0 0 0 0 0 0 0 0 0
#> [63,] 0 0 0 0 0 0 0 0 0 0
#> [64,] 0 0 0 0 0 0 0 0 0 0
#> [65,] 0 0 0 0 0 0 0 0 0 0
#> [66,] 0 0 0 0 0 0 0 0 0 0
#> [67,] 0 0 0 0 0 0 0 0 0 0
#> [68,] 0 0 0 0 0 0 0 0 0 0
#> [69,] 0 0 0 0 0 0 0 0 0 1
#> [70,] 0 1 0 0 0 0 0 0 1 0
#> [71,] 0 0 0 0 0 0 0 0 0 0
#> [72,] 0 0 0 0 0 0 0 0 0 0
#> [73,] 0 0 0 0 0 0 0 0 0 0
#> [74,] 0 0 0 0 0 0 0 0 0 0
#> [75,] 0 0 0 0 0 0 0 0 0 0
#> [76,] 0 0 1 0 0 0 0 0 0 0
#> [77,] 0 0 0 0 0 0 0 0 0 0
#> [78,] 0 0 0 0 0 0 0 0 0 0
#> [79,] 0 0 0 0 0 0 0 0 0 0
#> [80,] 0 0 0 0 0 0 0 0 0 0
#> [81,] 0 0 0 0 0 0 0 0 0 0
#> [82,] 0 0 0 0 0 0 0 0 0 0
#> [83,] 0 0 0 0 0 0 0 0 0 0
#> [84,] 0 0 0 0 0 0 0 0 0 0
#> [85,] 0 0 0 0 0 0 0 0 0 0
#> [86,] 0 0 0 0 0 0 0 0 0 0
#> [87,] 0 0 0 0 0 0 0 0 0 0
#> [88,] 0 0 0 0 0 0 0 0 0 0
#> [89,] 0 0 0 0 0 0 0 0 0 0
#> [90,] 0 0 0 0 0 0 0 0 0 0
#> [91,] 0 0 0 0 0 0 0 0 0 0
#> [92,] 0 0 0 0 0 0 0 0 0 0
#> [93,] 0 0 0 0 0 0 0 0 0 0
#> [94,] 0 0 0 0 0 0 0 0 0 0
#> [95,] 0 0 0 0 0 0 0 0 0 0
#> [96,] 0 0 0 0 0 0 0 0 0 0
#> [97,] 0 0 0 0 0 0 0 0 0 0
#> [98,] 0 0 0 0 0 0 0 0 0 0
#> [99,] 0 0 0 0 0 0 0 0 0 0
#> [100,] 0 0 0 0 0 0 0 0 0 0
#> [101,] 0 0 0 0 0 0 0 0 0 0
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#> [103,] 0 0 0 0 0 0 0 0 0 0
#> [104,] 0 0 0 0 0 0 0 0 0 0
#> [105,] 0 0 0 0 0 0 0 0 0 0
#> [106,] 0 0 0 0 0 0 0 0 0 0
#> [107,] 0 0 0 0 0 0 0 0 0 0
#> [108,] 0 0 0 0 0 0 0 0 0 0
#> [109,] 0 0 0 0 0 0 0 0 0 0
#> [110,] 0 0 0 0 0 0 0 0 0 0
#> [111,] 0 0 0 0 0 0 0 0 0 0
#> [112,] 0 0 0 0 0 0 0 0 0 0
#> [113,] 0 0 0 0 0 0 0 0 0 0
#> [114,] 0 0 0 0 0 0 0 0 0 0
#> [115,] 0 0 0 0 0 0 0 0 0 0
#> [116,] 0 0 0 0 0 0 0 0 1 0
#> [117,] 0 0 0 0 0 0 0 0 1 0
#> [118,] 0 0 0 0 0 0 0 0 0 0
#> [119,] 0 0 0 0 0 0 0 0 0 0
#> [120,] 0 0 0 0 0 0 0 0 0 0
#> [121,] 0 0 0 0 0 0 0 0 0 0
#> [122,] 0 0 0 0 0 0 0 0 0 0
#> [123,] 0 0 0 0 0 0 0 0 0 0
#> [124,] 0 0 0 0 0 0 0 0 0 0
#> [125,] 0 0 0 0 0 0 0 0 0 0
#> [126,] 0 0 0 0 0 0 0 0 0 0
#> [127,] 0 0 0 0 0 0 0 0 0 0
#> [128,] 0 0 0 0 0 0 0 0 0 0
#> [129,] 0 0 0 0 0 0 0 0 0 0
#> [130,] 0 0 0 0 0 0 0 0 0 0
#> [131,] 0 0 0 0 0 0 0 0 0 0
#> [132,] 0 0 0 0 0 0 0 0 0 0
#> [133,] 0 0 0 0 0 0 0 0 0 0
#> [134,] 0 0 0 0 0 0 0 0 0 0
#> [135,] 0 0 0 0 0 0 0 0 0 0
#> [136,] 0 0 0 0 0 0 0 0 0 0
#> [137,] 0 0 0 0 0 0 0 0 0 0
#> [138,] 0 0 0 0 0 0 0 0 0 0
#> [139,] 0 0 0 0 0 0 0 0 0 0
#> [140,] 0 0 0 0 0 0 0 0 0 0
#> [141,] 0 0 0 0 0 0 0 0 0 0
#> [142,] 0 0 0 0 0 0 0 0 0 0
#> [143,] 0 0 0 0 0 0 0 0 0 0
#> [144,] 0 0 0 0 0 0 0 0 0 0
#> [145,] 0 0 0 0 0 0 0 0 0 0
#> [146,] 0 0 0 0 0 0 0 0 0 0
#> [147,] 0 0 0 0 0 0 0 0 0 0
#> [148,] 0 0 0 0 0 0 0 0 0 0
#> [149,] 0 0 0 0 0 0 0 0 0 0
#> [150,] 0 0 0 0 0 0 0 0 0 0
#> [151,] 0 0 0 0 0 0 0 0 0 0
#> [152,] 0 0 0 0 0 0 0 0 0 0
#> [153,] 0 0 0 0 0 0 0 0 0 0
#> [154,] 0 0 0 0 0 0 0 0 0 0
#> [155,] 0 0 0 0 0 0 0 0 0 0
#> [156,] 0 0 0 0 0 0 0 0 0 0
#> [157,] 0 0 0 0 0 0 0 0 0 0
#> [158,] 0 0 0 0 0 0 0 0 0 0
#> [159,] 0 0 0 0 0 0 0 0 0 0
#> [160,] 0 0 0 0 0 0 0 0 0 0
#> [161,] 0 0 0 0 0 0 0 0 0 0
#> [162,] 0 0 0 0 0 0 0 0 0 0
#> [163,] 0 0 0 0 0 0 0 0 0 0
#> [164,] 0 0 0 0 0 0 0 0 0 0
#> [165,] 0 0 0 0 0 0 0 0 0 0
#> [166,] 0 0 0 0 0 0 0 0 0 0
#> [167,] 0 0 0 0 0 0 0 0 0 0
#> [168,] 0 0 0 0 0 0 0 0 0 0
#> [169,] 0 0 0 0 0 0 0 0 0 0
#> [170,] 0 0 0 0 0 0 0 0 0 0
#> [171,] 0 0 0 0 0 0 0 0 0 0
#> [172,] 0 0 0 0 0 0 0 0 0 0
#> [173,] 0 0 0 0 0 0 0 0 0 0
#> [174,] 0 0 0 0 0 0 0 0 0 0
#> [175,] 0 0 0 0 0 0 0 0 0 0
#> [176,] 0 0 0 0 0 0 0 0 0 0
#> [177,] 0 0 0 0 0 0 0 0 0 0
#> [178,] 0 0 0 0 0 0 0 0 0 0
#> [179,] 0 0 0 0 0 0 0 0 0 0
#> [180,] 0 0 0 0 0 0 0 0 0 0
#> [181,] 0 0 0 0 0 0 0 0 0 0
#> [182,] 0 0 0 0 0 0 0 0 0 0
#> [183,] 0 0 0 0 0 0 0 0 0 0
#> [184,] 0 0 0 0 0 0 0 0 0 0
#> [185,] 0 0 0 0 0 0 0 0 0 0
#> [186,] 0 0 0 1 0 0 0 0 0 0
#> [187,] 0 0 0 0 0 0 0 0 0 0
#> [188,] 0 0 0 0 0 0 0 0 0 0
#> [189,] 0 0 0 0 0 0 0 0 0 0
#> [190,] 0 0 0 0 0 0 0 0 0 0
#> [191,] 0 0 0 0 0 0 0 0 0 0
#> [192,] 0 0 0 0 0 0 0 0 0 0
#> [193,] 0 0 0 0 0 0 0 0 0 0
#> [194,] 0 0 0 1 1 0 0 0 0 0
#> [195,] 0 0 0 0 0 0 0 0 0 0
#> [196,] 0 0 0 0 0 0 0 0 0 0
#> [197,] 0 0 0 0 0 0 0 0 0 0
#> [198,] 0 0 0 0 0 0 0 0 0 0
#> [199,] 0 0 0 0 0 0 0 0 0 0
#> [200,] 0 0 0 0 0 0 0 0 0 0
#> [201,] 0 0 0 0 0 0 0 0 0 0
#> [202,] 0 0 0 0 0 0 0 0 0 1
#> [203,] 0 0 0 0 0 0 0 0 0 0
#> [204,] 0 0 0 0 0 0 0 0 0 0
#> [205,] 0 0 0 0 0 0 0 0 0 0
#> [206,] 0 0 0 0 0 0 0 0 0 0
#> [207,] 0 0 0 1 0 0 0 0 0 0
#> [208,] 0 0 0 0 0 0 0 0 0 0
#> [209,] 0 0 0 0 0 0 0 0 0 0
#> [210,] 0 0 0 0 0 0 0 0 0 0
#> [211,] 0 0 0 0 0 0 0 0 0 0
#> [212,] 0 0 0 0 0 0 0 0 0 0
#> [213,] 0 0 0 0 0 0 0 0 0 0
#> [214,] 0 0 0 0 0 0 0 0 0 0
#> [215,] 0 1 0 0 0 0 0 0 0 0
#> [216,] 0 0 0 0 0 0 0 0 0 0
#> [217,] 0 0 0 1 1 1 0 0 1 0
#> [218,] 0 0 0 0 0 0 0 0 0 0
#> [219,] 0 0 0 0 0 0 0 0 1 1
#> [220,] 0 0 0 1 1 0 0 0 0 0
#> [221,] 0 0 1 0 1 1 0 0 1 1
#> [222,] 0 0 1 1 0 1 0 0 1 0
#> [223,] 0 0 0 1 1 0 0 0 1 0
#> [224,] 0 0 0 0 0 0 0 0 0 0
#> [225,] 0 0 0 0 0 0 0 0 0 1
#> [226,] 0 1 0 1 1 1 0 0 0 1
#> [227,] 0 1 0 1 0 0 0 1 1 0
#> [228,] 0 1 0 0 0 0 0 0 1 0
#> [229,] 0 1 0 0 0 0 0 0 0 1
#> [230,] 0 0 0 0 0 0 0 0 0 0
#> [231,] 0 0 0 0 0 0 0 0 0 0
#> [,228] [,229] [,230] [,231]
#> [1,] 0 0 0 0
#> [2,] 0 0 0 0
#> [3,] 0 0 0 0
#> [4,] 0 0 0 0
#> [5,] 0 0 0 0
#> [6,] 0 0 0 0
#> [7,] 0 0 0 0
#> [8,] 0 0 0 0
#> [9,] 0 0 0 0
#> [10,] 0 0 0 0
#> [11,] 0 0 0 0
#> [12,] 0 0 0 0
#> [13,] 0 0 0 0
#> [14,] 0 0 0 0
#> [15,] 0 0 0 0
#> [16,] 0 0 0 0
#> [17,] 0 0 0 0
#> [18,] 0 0 0 0
#> [19,] 0 0 0 0
#> [20,] 0 0 0 0
#> [21,] 0 0 0 0
#> [22,] 0 0 0 0
#> [23,] 0 0 0 0
#> [24,] 0 0 0 0
#> [25,] 0 0 0 0
#> [26,] 0 0 0 0
#> [27,] 0 0 0 0
#> [28,] 0 0 0 0
#> [29,] 0 0 0 0
#> [30,] 0 0 0 0
#> [31,] 0 0 0 0
#> [32,] 0 0 0 0
#> [33,] 0 0 0 0
#> [34,] 0 0 0 0
#> [35,] 0 0 0 0
#> [36,] 0 0 0 0
#> [37,] 0 0 0 0
#> [38,] 0 0 0 0
#> [39,] 0 0 0 0
#> [40,] 0 0 0 0
#> [41,] 0 0 0 0
#> [42,] 0 0 0 0
#> [43,] 0 0 0 0
#> [44,] 0 0 0 0
#> [45,] 0 0 0 0
#> [46,] 0 0 0 0
#> [47,] 0 0 0 0
#> [48,] 0 0 0 0
#> [49,] 0 0 0 0
#> [50,] 0 0 0 0
#> [51,] 0 0 0 0
#> [52,] 0 0 0 0
#> [53,] 0 0 0 0
#> [54,] 0 0 0 0
#> [55,] 0 0 0 0
#> [56,] 0 0 0 0
#> [57,] 0 0 0 0
#> [58,] 0 0 0 0
#> [59,] 0 0 0 0
#> [60,] 0 0 0 0
#> [61,] 0 0 0 0
#> [62,] 0 0 0 0
#> [63,] 0 0 0 0
#> [64,] 0 0 0 0
#> [65,] 0 0 0 0
#> [66,] 0 0 0 0
#> [67,] 0 0 0 0
#> [68,] 0 0 0 0
#> [69,] 0 0 0 0
#> [70,] 0 0 0 0
#> [71,] 0 0 0 0
#> [72,] 0 0 0 0
#> [73,] 0 0 0 0
#> [74,] 0 0 0 0
#> [75,] 0 0 0 0
#> [76,] 0 0 0 0
#> [77,] 0 0 0 0
#> [78,] 0 0 0 0
#> [79,] 0 0 0 0
#> [80,] 0 0 0 0
#> [81,] 0 0 0 0
#> [82,] 0 0 0 0
#> [83,] 0 0 0 0
#> [84,] 0 0 0 0
#> [85,] 0 0 0 0
#> [86,] 0 0 0 0
#> [87,] 0 0 0 0
#> [88,] 0 0 0 0
#> [89,] 0 0 0 0
#> [90,] 0 0 0 0
#> [91,] 0 0 0 0
#> [92,] 0 0 0 0
#> [93,] 0 0 0 0
#> [94,] 0 0 0 0
#> [95,] 0 0 0 0
#> [96,] 0 0 0 0
#> [97,] 0 0 0 0
#> [98,] 0 0 0 0
#> [99,] 0 0 0 0
#> [100,] 0 0 0 0
#> [101,] 0 0 0 0
#> [102,] 0 0 0 0
#> [103,] 0 0 0 0
#> [104,] 0 0 0 0
#> [105,] 0 0 0 0
#> [106,] 0 0 0 0
#> [107,] 0 0 0 0
#> [108,] 0 0 0 0
#> [109,] 0 0 0 0
#> [110,] 0 0 0 0
#> [111,] 0 0 0 0
#> [112,] 0 0 0 0
#> [113,] 0 0 0 0
#> [114,] 0 0 0 0
#> [115,] 0 0 0 0
#> [116,] 0 0 0 0
#> [117,] 0 0 0 0
#> [118,] 0 0 0 0
#> [119,] 0 0 0 0
#> [120,] 0 0 0 0
#> [121,] 0 0 0 0
#> [122,] 0 0 0 0
#> [123,] 0 0 0 0
#> [124,] 0 0 0 0
#> [125,] 0 0 0 0
#> [126,] 0 0 1 0
#> [127,] 0 0 0 0
#> [128,] 0 0 0 0
#> [129,] 0 0 0 0
#> [130,] 0 0 0 0
#> [131,] 0 0 0 0
#> [132,] 0 0 0 0
#> [133,] 0 0 0 0
#> [134,] 0 0 0 1
#> [135,] 0 0 0 0
#> [136,] 0 0 0 0
#> [137,] 0 0 0 0
#> [138,] 0 0 0 0
#> [139,] 0 0 0 0
#> [140,] 0 0 0 0
#> [141,] 0 0 0 0
#> [142,] 0 0 0 0
#> [143,] 0 0 0 0
#> [144,] 0 0 0 0
#> [145,] 0 0 0 0
#> [146,] 0 0 0 0
#> [147,] 0 0 0 0
#> [148,] 0 0 0 0
#> [149,] 0 0 0 0
#> [150,] 0 0 0 0
#> [151,] 0 0 0 0
#> [152,] 0 0 0 0
#> [153,] 0 0 0 0
#> [154,] 0 0 0 0
#> [155,] 0 0 0 0
#> [156,] 0 0 0 0
#> [157,] 0 0 0 0
#> [158,] 0 0 0 0
#> [159,] 0 0 0 0
#> [160,] 0 0 0 0
#> [161,] 0 0 0 0
#> [162,] 0 0 0 0
#> [163,] 0 0 0 0
#> [164,] 0 0 0 0
#> [165,] 0 0 0 0
#> [166,] 0 0 0 0
#> [167,] 0 0 0 0
#> [168,] 0 0 0 0
#> [169,] 0 0 0 0
#> [170,] 0 0 0 0
#> [171,] 0 0 0 0
#> [172,] 0 0 0 0
#> [173,] 0 0 0 0
#> [174,] 0 0 0 0
#> [175,] 0 0 0 0
#> [176,] 0 0 0 0
#> [177,] 0 0 0 0
#> [178,] 0 0 0 0
#> [179,] 0 0 0 0
#> [180,] 0 0 0 0
#> [181,] 0 0 0 0
#> [182,] 0 0 0 0
#> [183,] 0 0 0 0
#> [184,] 0 0 0 0
#> [185,] 0 0 0 0
#> [186,] 0 0 0 0
#> [187,] 0 0 0 0
#> [188,] 0 0 0 0
#> [189,] 0 0 0 0
#> [190,] 0 0 0 0
#> [191,] 0 0 0 0
#> [192,] 0 0 0 0
#> [193,] 0 0 0 0
#> [194,] 0 0 0 0
#> [195,] 0 0 0 0
#> [196,] 0 0 0 0
#> [197,] 0 0 0 0
#> [198,] 0 0 0 0
#> [199,] 0 0 0 0
#> [200,] 0 0 0 0
#> [201,] 0 0 0 0
#> [202,] 0 0 0 0
#> [203,] 0 0 0 0
#> [204,] 0 0 0 0
#> [205,] 0 0 0 0
#> [206,] 0 0 0 0
#> [207,] 0 0 0 0
#> [208,] 0 0 0 0
#> [209,] 0 0 0 0
#> [210,] 0 0 0 0
#> [211,] 0 0 0 0
#> [212,] 0 0 0 0
#> [213,] 1 1 0 0
#> [214,] 0 0 0 0
#> [215,] 0 0 0 0
#> [216,] 0 0 0 0
#> [217,] 1 1 0 0
#> [218,] 0 0 0 0
#> [219,] 1 1 0 0
#> [220,] 0 0 0 0
#> [221,] 0 0 0 0
#> [222,] 0 0 0 0
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#> [225,] 0 0 0 0
#> [226,] 1 0 0 0
#> [227,] 0 1 0 0
#> [228,] 0 1 0 0
#> [229,] 1 0 0 0
#> [230,] 0 0 0 0
#> [231,] 0 0 0 0
#>
#> , , give advice
#>
#> [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
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#> [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
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#> [65,] 0 0 0 0
#> [66,] 0 0 0 0
#> [67,] 0 0 0 0
#> [68,] 0 0 0 0
#> [69,] 0 0 0 0
#> [70,] 0 0 0 0
#> [71,] 0 0 0 0
#> [72,] 0 0 0 0
#> [73,] 0 0 0 0
#> [74,] 0 0 0 0
#> [75,] 0 0 0 0
#> [76,] 0 0 0 0
#> [77,] 0 0 0 0
#> [78,] 0 0 0 0
#> [79,] 0 0 0 0
#> [80,] 0 0 0 0
#> [81,] 0 0 0 0
#> [82,] 0 0 0 0
#> [83,] 0 0 0 0
#> [84,] 0 0 0 0
#> [85,] 0 0 0 0
#> [86,] 0 0 0 0
#> [87,] 0 0 0 0
#> [88,] 0 0 0 0
#> [89,] 0 0 0 0
#> [90,] 0 0 0 0
#> [91,] 0 0 0 0
#> [92,] 0 0 0 0
#> [93,] 0 0 0 0
#> [94,] 0 0 0 0
#> [95,] 0 0 0 0
#> [96,] 0 0 0 0
#> [97,] 0 0 0 0
#> [98,] 0 0 0 0
#> [99,] 0 0 0 0
#> [100,] 0 0 0 0
#> [101,] 0 0 0 0
#> [102,] 0 0 0 0
#> [103,] 0 0 0 0
#> [104,] 0 0 0 0
#> [105,] 0 0 0 0
#> [106,] 0 0 0 0
#> [107,] 0 0 0 0
#> [108,] 0 0 0 0
#> [109,] 0 0 0 0
#> [110,] 0 0 0 0
#> [111,] 0 0 0 0
#> [112,] 0 0 0 0
#> [113,] 0 0 0 0
#> [114,] 0 0 0 0
#> [115,] 0 0 0 0
#> [116,] 0 0 0 0
#> [117,] 0 0 0 0
#> [118,] 0 0 0 0
#> [119,] 0 0 0 0
#> [120,] 0 0 0 0
#> [121,] 0 0 0 0
#> [122,] 0 0 0 0
#> [123,] 0 0 0 0
#> [124,] 0 0 0 0
#> [125,] 0 0 0 0
#> [126,] 0 0 1 0
#> [127,] 0 0 0 0
#> [128,] 0 0 0 0
#> [129,] 0 0 0 0
#> [130,] 0 0 0 0
#> [131,] 0 0 0 0
#> [132,] 0 0 0 0
#> [133,] 0 0 0 0
#> [134,] 0 0 0 1
#> [135,] 0 0 0 0
#> [136,] 0 0 0 0
#> [137,] 0 0 0 0
#> [138,] 0 0 0 0
#> [139,] 0 0 0 0
#> [140,] 0 0 0 0
#> [141,] 0 0 0 0
#> [142,] 0 0 0 0
#> [143,] 0 0 0 0
#> [144,] 0 0 0 0
#> [145,] 0 0 0 0
#> [146,] 0 0 0 0
#> [147,] 0 0 0 0
#> [148,] 0 0 0 0
#> [149,] 0 0 0 0
#> [150,] 0 0 0 0
#> [151,] 0 0 0 0
#> [152,] 0 0 0 0
#> [153,] 0 0 0 0
#> [154,] 0 0 0 0
#> [155,] 0 0 0 0
#> [156,] 0 0 0 0
#> [157,] 0 0 0 0
#> [158,] 0 0 0 0
#> [159,] 0 0 0 0
#> [160,] 0 0 0 0
#> [161,] 0 0 0 0
#> [162,] 0 0 0 0
#> [163,] 0 0 0 0
#> [164,] 0 0 0 0
#> [165,] 0 0 0 0
#> [166,] 0 0 0 0
#> [167,] 0 0 0 0
#> [168,] 0 0 0 0
#> [169,] 0 0 0 0
#> [170,] 0 0 0 0
#> [171,] 0 0 0 0
#> [172,] 0 0 0 0
#> [173,] 0 0 0 0
#> [174,] 0 0 0 0
#> [175,] 0 0 0 0
#> [176,] 0 0 0 0
#> [177,] 0 0 0 0
#> [178,] 0 0 0 0
#> [179,] 0 0 0 0
#> [180,] 0 0 0 0
#> [181,] 0 0 0 0
#> [182,] 0 0 0 0
#> [183,] 0 0 0 0
#> [184,] 0 0 0 0
#> [185,] 0 0 0 0
#> [186,] 0 0 0 0
#> [187,] 0 0 0 0
#> [188,] 0 0 0 0
#> [189,] 0 0 0 0
#> [190,] 0 0 0 0
#> [191,] 0 0 0 0
#> [192,] 0 0 0 0
#> [193,] 0 0 0 0
#> [194,] 0 0 0 0
#> [195,] 0 0 0 0
#> [196,] 0 0 0 0
#> [197,] 0 0 0 0
#> [198,] 0 0 0 0
#> [199,] 0 0 0 0
#> [200,] 0 0 0 0
#> [201,] 0 0 0 0
#>
#> [ reached 'max' / getOption("max.print") -- omitted 10 slices ]
mnethist_Ind_Vil <- multinethist(IndianVil)
# }