Gould-Fernandez Brokerage — Liaison Role — centrality_brokerage

Liaison brokerage (b_O): count of open directed 2-paths $A \to V \to B$ where all three nodes belong to different groups. The broker mediates between two groups to neither of which they belong.

Usage

centrality_brokerage_liaison(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 liaison role counts.

Details

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

References

Gould & Fernandez (1989).

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_liaison(adj, membership = c(1, 1, 2, 2))
#> A B C D 
#> 0 0 0 0