Triadic closure for dynamic affiliation networks

Given an affiliation network with time-stamped events, compute the proportion of centered triples at which an open wedge exists at some time that is closed at a later time.

dynamic_triad_closure(graph, actors = V(graph)[V(graph)$type == FALSE],
  type = "global", ..., measure = NULL)

dynamic_triad_closure_an(graph, actors = V(graph)[V(graph)$type == FALSE],
  type = "global", ..., measure = NULL)

dynamic_transitivity_an(graph, actors = V(graph)[V(graph)$type == FALSE],
  type = "global", ..., measure = NULL)

dyn.transitivity.an(graph, actors = V(graph)[V(graph)$type == FALSE],
  type = "global", ..., measure = NULL)

dynamic_triad_closure_projection(graph, memory = Inf, type = "global")

Arguments

graph	An affiliation network with time-stamped events.
actors	A vector of actor nodes in graph.
type	The type of statistic, matched to "global", "local", or "raw".
...	Additional parameters passed to specific functions.
measure	Character; the measure of triad closure, used as the suffix * to triad_closure_*. Matched to "classical" (also "watts_strogatz"), "twomode" (also "opsahl"), "unconnected" (also "liebig_rao_0"), "completely_connected" (also "liebig_rao_3"), "exclusive", or "projection".
memory	Numeric; minimum delay of wedge formation since would-have-been closing events.

See also

Other triad closure functions: project_transitivity, transitivity_an, triad_closure_from_census, triad_closure

Examples

data(women_group)
dynamic_triad_closure(women_group)
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> [1] 0.5464481
cbind(
  transitivity(actor_projection(women_group), type = "local"),
  triad_closure_opsahl(women_group, type = "local"),
  triad_closure_exclusive(women_group, type = "local"),
  dynamic_triad_closure_projection(women_group, type = "local"),
  dynamic_triad_closure(women_group, type = "local")
)
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#> Warning: 'dynamic_wedges' is experimental.
#>            [,1]      [,2]      [,3]      [,4]      [,5]
#>  [1,] 0.8970588 0.7666667 0.4477612 0.5757576 0.4496124
#>  [2,] 0.9619048 0.8421751 0.4871795 0.6923077 0.6052632
#>  [3,] 0.8970588 0.7523437 0.1445783 0.6500000 0.5144509
#>  [4,] 0.9619048 0.8387909 0.4500000 0.6923077 0.4871795
#>  [5,] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
#>  [6,] 0.9619048 0.8690476 0.7777778 0.0000000 0.0000000
#>  [7,] 0.9619048 0.7959184 0.5312500 0.6923077 0.5652174
#>  [8,] 0.9333333 0.6462585 0.4666667 0.6363636 0.4666667
#>  [9,] 0.8970588 0.6702509 0.3283582 0.6500000 0.5000000
#> [10,] 0.8970588 0.6740891 0.3928571 0.5757576 0.5185185
#> [11,] 0.9333333 0.7138810 0.5555556 0.2727273 0.4285714
#> [12,] 0.9333333 0.7695560 0.5357143 0.2727273 0.4285714
#> [13,] 0.8970588 0.7461929 0.3000000 0.5757576 0.5714286
#> [14,] 0.8970588 0.8379501 0.6631579 0.7254902 0.7207792
#> [15,] 0.8970588 0.8159204 0.6610169 0.6111111 0.5714286
#> [16,] 0.9333333 0.5407407 0.4666667 0.0000000 0.0000000
#> [17,] 1.0000000 0.5806452 1.0000000 1.0000000 1.0000000
#> [18,] 1.0000000 0.5806452 1.0000000 1.0000000 1.0000000