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Degree correlations in signed social networks

Author

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  • Ciotti, Valerio
  • Bianconi, Ginestra
  • Capocci, Andrea
  • Colaiori, Francesca
  • Panzarasa, Pietro

Abstract

We investigate degree correlations in two online social networks where users are connected through different types of links. We find that, while subnetworks in which links have a positive connotation, such as endorsement and trust, are characterized by assortative mixing by degree, networks in which links have a negative connotation, such as disapproval and distrust, are characterized by disassortative patterns. We introduce a class of simple theoretical models to analyze the interplay between network topology and the superimposed structure based on the sign of links. Results uncover the conditions that underpin the emergence of the patterns observed in the data, namely the assortativity of positive subnetworks and the disassortativity of negative ones. We discuss the implications of our study for the analysis of signed complex networks.

Suggested Citation

  • Ciotti, Valerio & Bianconi, Ginestra & Capocci, Andrea & Colaiori, Francesca & Panzarasa, Pietro, 2015. "Degree correlations in signed social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 25-39.
    • Handle: RePEc:eee:phsmap:v:422:y:2015:i:c:p:25-39
    DOI: 10.1016/j.physa.2014.11.062
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    1. Jeff Alstott & Ed Bullmore & Dietmar Plenz, 2014. "powerlaw: A Python Package for Analysis of Heavy-Tailed Distributions," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-11, January.
    2. Traud, Amanda L. & Mucha, Peter J. & Porter, Mason A., 2012. "Social structure of Facebook networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(16), pages 4165-4180.
    3. Jack High (ed.), 2001. "Competition," Books, Edward Elgar Publishing, number 1751.
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    Cited by:

    1. Lee, Kyu-Min & Lee, Sungmin & Min, Byungjoon & Goh, K.-I., 2023. "Threshold cascade dynamics on signed random networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Małgorzata J Krawczyk & Krzysztof Kułakowski & Janusz A Hołyst, 2018. "Hierarchical partitions of social networks between rivaling leaders," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-13, March.

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