cograph (version 2.7.2)

centrality_brokerage_coordinator: Gould-Fernandez Brokerage — Coordinator Role

Description

Coordinator brokerage (w_I): count of open directed 2-paths \(A \to V \to A\) passing through node \(V\), where all three nodes belong to \(V\)'s group. The broker mediates contact between two in-group members.

Usage

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

Value

Named integer vector of coordinator role counts.

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[, "w_I"]. Counts OPEN 2-paths only — those where no direct edge from a to c exists. Directed-only; returns NA with a warning on undirected input.

References

Gould, R. V., & Fernandez, R. M. (1989). Structures of mediation: A formal approach to brokerage in transaction networks. Sociological Methodology, 19, 89-126.

See Also

centrality, centrality_brokerage_itinerant, centrality_brokerage_representative, centrality_brokerage_gatekeeper, centrality_brokerage_liaison.

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_coordinator(adj, membership = c(1, 1, 2, 2))