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The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Node-based generalized friendship paradox fails
Anna Evtushenko1, Jon Kleinberg2,3
1Department of Information Science, Cornell University, Ithaca, NY, USA. anna@infosci.cornell.edu.
The Generalized Friendship Paradox, suggesting friends are more active, may not hold true when analyzing individual users (nodes) instead of network connections (edges). Network structure, not just activity correlation, determines if this paradox applies.
Area of Science:
- Network Science
- Sociology
- Data Analysis
Background:
- The Friendship Paradox states individuals have fewer friends than their friends do.
- This concept extends to attributes like activity, suggesting friends are more active.
- The network-level Generalized Friendship Paradox is mathematically established.
Purpose of the Study:
- To investigate the node-based version of the Generalized Friendship Paradox.
- To determine if attributes correlated with user degree always follow this paradox at the individual level.
- To explore the influence of network structure on this phenomenon.
Main Methods:
- Mathematical analysis of network structures.
- Comparison of edge-based aggregation versus node-based aggregation.
- Examination of degree-attribute correlations.
Main Results:
- The node-based Generalized Friendship Paradox may fail, even with high degree-attribute correlations.
- The paradox's validity depends on both correlation strength and underlying network topology.
- It is not a universal phenomenon across all social networks.
Conclusions:
- The node-based Generalized Friendship Paradox is not universally applicable.
- Network structure plays a critical role in its manifestation.
- Findings have implications for interpreting social network data and user behavior.
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