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Bridging: Locating Critical Connectors in a Network.

Thomas W Valente¹, Kayo Fujimoto

¹Department of Preventive Medicine School of Medicine University of Southern California 1000 Fremont Ave, Bldg A Room 5133 Alhambra CA 91803.

Social Networks

|June 29, 2010

Summary

This study introduces new network measures to quantify structural bridging, identifying key links that connect otherwise separate network components. These measures help analyze network structure and dynamics.

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Area of Science:

Social Network Analysis
Network Science
Sociology

Background:

Granovetter's (1973) work highlights the importance of structural bridges in networks.
Existing network measures may not fully capture the concept of bridging.
Understanding network connectivity is crucial for various fields.

Purpose of the Study:

To propose novel quantitative measures for network bridging.
To develop methods for calculating individual and network-level bridging.
To assess the utility of these measures in network analysis.

Main Methods:

Systematically deleting network links and measuring changes in network cohesion (inverse average path length).
Calculating average link changes per node for individual bridging scores.
Developing normalized and network-level bridging indices.
Testing measures on diverse network types (hypothetical, empirical, random).

Main Results:

A new family of bridging measures is introduced.
Bridging measures correlate with established network metrics like degree, centrality, and constraint.
The methodology provides a robust way to quantify structural importance of links.

Conclusions:

The proposed bridging measures offer valuable insights into network structure and dynamics.
These measures can enhance the study of network effects on behavior.
This work provides a new toolkit for network researchers.