Censuses of brokerage motifs

node_brokerage_census(object, membership, standardized = FALSE)

network_brokerage_census(object, membership, standardized = FALSE)

Arguments

object

An object of a migraph-consistent class:

  • matrix (adjacency or incidence) from {base} R

  • edgelist, a data frame from {base} R or tibble from {tibble}

  • igraph, from the {igraph} package

  • network, from the {network} package

  • tbl_graph, from the {tidygraph} package

membership

A vector of partition membership as integers.

standardized

Whether the score should be standardized into a z-score indicating how many standard deviations above or below the average the score lies.

Functions

  • node_brokerage_census(): Returns the Gould-Fernandez brokerage roles played by nodes in a network.

  • network_brokerage_census(): Returns the Gould-Fernandez brokerage roles in a network.

References

Gould, R.V. and Fernandez, R.M. 1989. “Structures of Mediation: A Formal Approach to Brokerage in Transaction Networks.” Sociological Methodology, 19: 89-126.

See also

Examples

node_brokerage_census(ison_networkers, "Discipline")
#> # A tibble: 32 × 7
#>    names              Coordinator Itinerant Gatekeeper Represent…¹ Liaison Total
#>    <chr>                    <dbl>     <dbl>      <dbl>       <dbl>   <dbl> <dbl>
#>  1 LIN FREEMAN                137        28        123         138      72   498
#>  2 DOUG WHITE                   5       113         45          46     116   325
#>  3 EV ROGERS                    0         0          0           0       3     3
#>  4 RICHARD ALBA                14         4         14          25      15    72
#>  5 PHIPPS ARABIE                0         5          0           7      24    36
#>  6 CAROL BARNER-BARRY           0        17          4           3      16    40
#>  7 GARY COOMBS                  0         0          0           0       0     0
#>  8 RUSS BERNARD                 2        49         36          19      78   184
#>  9 JOHN BOYD                    2         0          0           1       0     3
#> 10 RON BURT                    32         2         19          38      10   101
#> # … with 22 more rows, and abbreviated variable name ¹​Representative
network_brokerage_census(ison_networkers, "Discipline")
#> # A tibble: 1 × 6
#>   Coordinator Itinerant Gatekeeper Representative Liaison Total
#>         <dbl>     <dbl>      <dbl>          <dbl>   <dbl> <dbl>
#> 1         385       463        498            548     703  2597