Participation Coefficient

Measures diversity of inter-community connections. Nodes connecting to many communities have high participation. Requires community membership.

Usage

centrality_participation(x, membership = NULL, mode = "all", ...)

Arguments

x

Network input (matrix, igraph, network, cograph_network, tna object).

membership

Integer vector of community assignments (one per node).

mode

For directed networks: "all" (default), "in", or "out".

...

Additional arguments passed to centrality.

Value

Named numeric vector of participation coefficient values (0-1).

See also

centrality for computing multiple measures at once, centrality_within_module_z for within-community connectivity.

Examples

adj <- matrix(c(0,1,1,0,0, 1,0,1,0,0, 1,1,0,1,0, 0,0,1,0,1, 0,0,0,1,0), 5, 5)
rownames(adj) <- colnames(adj) <- LETTERS[1:5]
centrality_participation(adj, membership = c(1, 1, 1, 2, 2))
#>         A         B         C         D         E 
#> 0.0000000 0.0000000 0.4444444 0.5000000 0.0000000