Bridge metrics for nodes excluded from communities

Computes bridge centrality measures for nodes that are not assigned to any community. This function is used internally by mixMN() and multimixMN(). For these excluded nodes, the function computes bridge strength, bridge closeness, bridge betweenness, and bridge expected influence of order one and two (EI1 and EI2), quantifying their role in connecting nodes across different communities.

Usage

bridge_metrics_excluded(g, membership)

Arguments

g

An igraph object with edge attribute weight.

membership

Named vector/factor of community labels for a subset of nodes (names must match V(g)$name). Nodes not present here are treated as excluded.

Value

A data.frame with columns: node, bridge_strength, bridge_closeness, bridge_betweenness, bridge_ei1, bridge_ei2.

Details

Bridge betweenness excluded and closeness excluded are computed on the positive-weight subgraph only, with weights converted to distances as \(d = 1/w\).

References

Jones, P. J. (2025). networktools: Tools for identifying important nodes in networks. R package version 1.6.1. https://github.com/paytonjjones/networktools