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cograph (version 2.7.2)

centrality_brokerage_itinerant: Gould-Fernandez Brokerage — Itinerant (Consultant) Role

Description

Itinerant brokerage (w_O): count of open directed 2-paths \(A \to V \to A\) where the two endpoints are in the same group but the broker \(V\) is in a different group. The broker mediates within another group as an outsider.

Usage

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

Value

Named integer vector of itinerant 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_O"]. Directed-only.

References

Gould, R. V., & Fernandez, R. M. (1989). Structures of mediation: A formal approach to brokerage in transaction networks. Sociological Methodology, 19, 89-126. tools:::Rd_expr_doi("10.2307/270949").

See Also

centrality_brokerage_coordinator.

Examples

Run this code
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_itinerant(adj, membership = c(1, 1, 2, 2))

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