Bridge profiles of a node across communities

Identifies which communities contribute most to the bridge role of a given node, by decomposing its bridge connectivity into community-specific contributions, excluding its own community when assigned. The function is designed as an interpretative companion to bridge_metrics() and bridge_metrics_excluded(), providing the components underlying the corresponding overall bridge indices.

Usage

find_bridge_communities(fit, node)

Arguments

fit

An object of class mixMN_fit.

node

Character scalar: node of interest; must belong to fit$graph$keep_nodes_graph.

Value

An object of class "bridge_profiles" (a named list) with the following components:

bridge_strength

Bridge strength. List with overall, the total value across all other communities, and by_comm, a tibble with community-specific contributions (community, sum_abs_w).

bridge_ei1

Bridge expected influence (order 1). List with overall and by_comm (community, sum_signed_w).

bridge_ei2

Bridge expected influence (order 2). List with overall and by_comm (community, sum_signed_w2).

bridge_closeness

Bridge closeness. List with overall and by_comm (community, inv_mean_dist).

bridge_betweenness

Bridge betweenness. List with overall and by_pair, a tibble with contributions by community pair (Ci, Cj, hits).

Details

Bridge connectivity is summarized using five complementary profiles: bridge strength, bridge EI1, bridge EI2, bridge closeness, and bridge betweenness.

Notes:

• Bridge profiles are computed using only connections from the focal node to nodes in communities different from its own. If the focal node is not assigned to any community, i.e. excluded, connections to all assigned nodes in communities are considered.

• Bridge betweenness is computed by counting all shortest paths between pairs of nodes in different communities that pass through the focal node as an intermediate vertex. When multiple shortest paths exist, each path is counted separately.