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arXiv · 1510.05763

Clarifying the Role of Distance in Friendships on Twitter: Discovery of a Double Power-Law Relationship

Won-Yong Shin·Jaehee Cho·André M. Everett
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Abstract

This study analyzes friendships in online social networks involving geographic distance with a geo-referenced Twitter dataset, which provides the exact distance between corresponding users. We start by introducing a strong definition of "friend" on Twitter, requiring bidirectional communication. Next, by utilizing geo-tagged mentions delivered by users to determine their locations, we introduce a two-stage distance estimation algorithm. As our main contribution, our study provides the following newly-discovered friendship degree related to the issue of space: The number of friends according to distance follows a double power-law (i.e., a double Pareto law) distribution, indicating that the probability of befriending a particular Twitter user is significantly reduced beyond a certain geographic distance between users, termed the separation point. Our analysis provides much more fine-grained social ties in space, compared to the conventional results showing a homogeneous power-law with distance.

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Won-Yong Shin, Jaehee Cho, André M. Everett. 2015-10-20. Clarifying the Role of Distance in Friendships on Twitter: Discovery of a Double Power-Law Relationship. https://arxiv.org/abs/1510.05763

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