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Triadic analysis of affiliation networks

Published online by Cambridge University Press:  22 December 2015

JASON CORY BRUNSON
JASON CORY BRUNSON*
Affiliation:
Center for Quantitative Medicine, UConn Health, Farmington, CT 06030, USA (e-mail: brunson@uchc.edu)
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Abstract

Triadic closure has been conceptualized and measured in a variety of ways, most famously the clustering coefficient. Existing extensions to affiliation networks, however, are sensitive to repeat group attendance, which does not reflect common interpersonal interpretations of triadic closure. This paper proposes a measure of triadic closure in affiliation networks designed to control for this factor, which manifests in bipartite models as biclique proliferation. To avoid arbitrariness, the paper introduces a triadic framework for affiliation networks, within which a range of measures can be defined; it then presents a set of basic axioms that suffice to narrow this range to the one measure. An instrumental assessment compares the proposed and two existing measures for reliability, validity, redundancy, and practicality. All three measures then take part in an investigation of three empirical social networks, which illustrates their differences.

Keywords

affiliation networkstriadic closuretriad censusclustering coefficientbicliques
Type
Research Article
Information
Network Science , Volume 3 , Issue 4 , December 2015 , pp. 480 - 508
Copyright
Copyright © Cambridge University Press 2015 

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