Generalized friendship paradox in complex networks: The case of scientific collaboration

Abstract

The friendship paradox states that your friends have on average more friends than you have. Does the paradox "hold" for other individual characteristics like income or happiness? To address this question, we generalize the friendship paradox for arbitrary node characteristics in complex networks. By analyzing two coauthorship networks of Physical Review journals and Google Scholar profiles, we find that the generalized friendship paradox (GFP) holds at the individual and network levels for various characteristics, including the number of coauthors, the number of citations, and the number of publications. The origin of the GFP is shown to be rooted in positive correlations between degree and characteristics. As a fruitful application of the GFP, we suggest effective and efficient sampling methods for identifying high characteristic nodes in large-scale networks. Our study on the GFP can shed lights on understanding the interplay between network structure and node characteristics in complex networks.

Published in Scientific Reports. 9 pages, 3 figures

References in corpus (10)

• Statistical physics of social dynamics
• Efficient Immunization Strategies for Computer Networks and Populations
• Multirelational Organization of Large-scale Social Networks in an Online World
• Social Network Sensors for Early Detection of Contagious Outbreaks
• Analysis of a large-scale weighted network of one-to-one human communication
• Diffusion of scientific credits and the ranking of scientists
• Model of Genetic Variation in Human Social Networks
• Experience versus Talent Shapes the Structure of the Web
• Immunization Dynamics on a 2-layer Network Model
• Using Friends as Sensors to Detect Global-Scale Contagious Outbreaks

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• Assortativity and leadership emergence from anti-preferential attachment in heterogeneous networks
• Impact of perception models on friendship paradox and opinion formation
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• From Symbols to Embeddings: A Tale of Two Representations in Computational Social Science
• Friendship Paradox and Attention Economics
• Interventions with Inversity in Unknown Networks Can Help Regulate Contagion