Gould-Fernandez Brokerage — Representative Role

Representative brokerage (b_IO): count of open directed 2-paths \(A \to V \to B\) where \(A\) and \(V\) are in the same group and \(B\) is in a different group. The broker represents their group outward.

Usage

centrality_brokerage_representative(x, membership = NULL, ...)

Arguments

x

Directed network input (matrix, igraph, cograph_network, tna object).

membership

Integer or character vector of group assignments, length equal to the number of nodes. Required.

...

Additional arguments passed to centrality.

Value

Named integer vector of representative role counts.

Details

Bit-exact match against sna::brokerage$raw.nli[, "b_IO"]. Directed-only.

References

Gould & Fernandez (1989).

See also

centrality_brokerage_coordinator.

Examples

adj <- matrix(c(0,1,1,0, 0,0,1,1, 0,0,0,1, 1,0,0,0), 4, 4, byrow = TRUE)
rownames(adj) <- colnames(adj) <- c("A", "B", "C", "D")
centrality_brokerage_representative(adj, membership = c(1, 1, 2, 2))
#> A B C D 
#> 0 1 0 1