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Reciprocity in directed networks

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  • Yin, Mei
  • Zhu, Lingjiong

Abstract

Reciprocity is an important characteristic of directed networks and has been widely used in the modeling of World Wide Web, email, social, and other complex networks. In this paper, we take a statistical physics point of view and study the limiting entropy and free energy densities from the microcanonical ensemble, the canonical ensemble, and the grand canonical ensemble whose sufficient statistics are given by edge and reciprocal densities. The sparse case is also studied for the grand canonical ensemble. Extensions to more general reciprocal models including reciprocal triangle and star densities will likewise be discussed.

Suggested Citation

  • Yin, Mei & Zhu, Lingjiong, 2016. "Reciprocity in directed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 71-84.
    • Handle: RePEc:eee:phsmap:v:447:y:2016:i:c:p:71-84
    DOI: 10.1016/j.physa.2015.12.008
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    Cited by:

    1. Lizhi Xing & Wen Chen, 2023. "Structural Characteristics and Evolutionary Drivers of Global Virtual Water Trade Networks: A Stochastic Actor-Oriented Model for 2000–2015," IJERPH, MDPI, vol. 20(4), pages 1-20, February.

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