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New Journal of Physics

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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Triadic closure dynamics drives scaling laws in social multiplex networks

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Peter Klimek1 and Stefan Thurner1,2,3,4

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Paper

Social networks exhibit scaling laws for several structural characteristics, such as degree distribution, scaling of the attachment kernel and clustering coefficients as a function of node degree. A detailed understanding if and how these scaling laws are inter-related is missing so far, let alone whether they can be understood through a common, dynamical principle. We propose a simple model for stationary network formation and show that the three mentioned scaling relations follow as natural consequences of triadic closure. The validity of the model is tested on multiplex data from a well-studied massive multiplayer online game. We find that the three scaling exponents observed in the multiplex data for the friendship, communication and trading networks can simultaneously be explained by the model. These results suggest that triadic closure could be identified as one of the fundamental dynamical principles in social multiplex network formation.

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PACS

89.65.-s Social and economic systems

89.75.Hc Networks and genealogical trees

89.75.Da Systems obeying scaling laws

Subjects

Statistical physics and nonlinear systems

Dates

Issue 6 (June 2013)

Received 19 February 2013

Published 7 June 2013

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  1. Triadic closure dynamics drives scaling laws in social multiplex networks

    Peter Klimek and Stefan Thurner 2013 New J. Phys. 15 063008

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