Add Weighted Bridging Centrality plugin

[natesteinmeyer]

New plugin or plugin update?

• New Plugin
• Update

What is the purpose of this plugin?

This plugin extends Gephi’s Bridging Centrality metric to weighted networks. It calculates betweenness centrality using weighted shortest paths, interpreting edge weights as connection strengths and converting them to effective distances using d=1/w. It then combines weighted betweenness centrality with the standard bridging coefficient to identify nodes that play important bridging roles between different regions of a weighted network.

How to test your plugin in Gephi?

Build and install the plugin in Gephi 0.11.1.
Create an undirected weighted network with four nodes (A, B, C, D) and the following edges: A–B with weight 10, B–D with weight 10, A–C with weight 1, and C–D with weight 1.
In the Statistics panel, run Weighted Bridging Centrality with Normalized unchecked.
The plugin should add three columns to the Data Laboratory: Weighted Betweenness Centrality, Bridging Coefficient, and Weighted Bridging Centrality.
The expected results are: Node A: Weighted Betweenness = 0.5, Bridging Coefficient = 0.5, Weighted Bridging Centrality = 0.25. Node B: Weighted Betweenness = 1.0, Bridging Coefficient = 0.5, Weighted Bridging Centrality = 0.50. Node C: Weighted Betweenness = 0.0, Bridging Coefficient = 0.5, Weighted Bridging Centrality = 0.00. Node D: Weighted Betweenness = 0.5, Bridging Coefficient = 0.5, Weighted Bridging Centrality = 0.25.

Edge weights are interpreted as connection strengths and converted to effective distances using d = 1/w. Thus, in this example, the path A–B–D has a total effective distance of 0.2, while A–C–D has a total effective distance of 2.0.

Checklist before submission

• Did you merged with the master branch to get the latest updates?
• Did you build and test the plugin successfully locally?
• Did you include metadata (e.g. plugin author, license) in the pom.xml file
• Did you make sure NOT to include any unnecessary files in your PR?
• Did you write unit tests to test your plugin functionalities?