centrality_brokerage_representative: Gould-Fernandez Brokerage — Representative Role

In cograph: Analysis and Visualization of Complex Networks

Gould-Fernandez Brokerage — Representative Role

Description

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.

Details

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

Value

Named integer vector of representative role counts.

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))

cograph documentation built on May 31, 2026, 5:06 p.m.