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International Conference on Combinatorial Optimization and Applications

COCOA 2014: Combinatorial Optimization and Applications pp 571–580Cite as

Mixed Degree-Degree Correlations in Directed Social Networks

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8881))

Abstract

Many complex networks exhibit homophilic, or assortative degree mixing–the tendency for networked nodes to connect with others of similar degree. For social networks, this phenomenon is often referred to colloquially by the mantra ‘your friends have more friends than you do.’ We analyzed datasets for 16 directed social networks, and report that some of them exhibit both assortative (positive correlations) and disassortative (negative correlations) degree mixing across the totality of their degrees. We show that this mixed trend can be predicted based on the value of Pearson correlations computed for the directed networks. This stands in contrast to previous results reported for social networks that mark them as purely assortative. Finally, we discuss mechanisms by which these trends emerge from random models of network creation.

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Acknowledgments

This work was funded in part by the US Army’s Environmental Quality and Installations 6.1 basic research program. Opinions, interpretations, conclusions, and recommendations are those of the author(s) and are not necessarily endorsed by the U.S. Army.

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Authors and Affiliations

  1. Environmental Laboratory, US Army Engineer Research and Development Center, Vicksburg, MS, USA

    Michael Mayo

  2. Department of Computer Science, Virginia Commonwealth University, Richmond, VA, USA

    Ahmed Abdelzaher & Preetam Ghosh

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  1. Michael Mayo
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  2. Ahmed Abdelzaher
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  3. Preetam Ghosh
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Correspondence to Michael Mayo .

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Editors and Affiliations

  1. Zhejiang Normal University, Jinhua, Zhejiang, China

    Zhao Zhang

  2. University of Texas, Tyler, Texas, USA

    Lidong Wu

  3. University of Texas, Dallas, Texas, USA

    Wen Xu

  4. University of Texas, Dallas, USA

    Ding-Zhu Du

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Mayo, M., Abdelzaher, A., Ghosh, P. (2014). Mixed Degree-Degree Correlations in Directed Social Networks. In: Zhang, Z., Wu, L., Xu, W., Du, DZ. (eds) Combinatorial Optimization and Applications. COCOA 2014. Lecture Notes in Computer Science(), vol 8881. Springer, Cham. https://doi.org/10.1007/978-3-319-12691-3_42

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  • DOI: https://doi.org/10.1007/978-3-319-12691-3_42

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