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Wikipedia mining of hidden links between political leaders

Author

Listed:
  • Klaus M. Frahm

    (Laboratoire de Physique Théorique du CNRS, IRSAMC, Université de Toulouse, CNRS)

  • Katia Jaffrès-Runser

    (Institut de Recherche en Informatique de Toulouse, Université de Toulouse)

  • Dima L. Shepelyansky

    (Laboratoire de Physique Théorique du CNRS, IRSAMC, Université de Toulouse, CNRS)

Abstract

We describe a new method of reduced Google matrix which allows to establish direct and hidden links between a subset of nodes of a large directed network. This approach uses parallels with quantum scattering theory, developed for processes in nuclear and mesoscopic physics and quantum chaos. The method is applied to the Wikipedia networks in different language editions analyzing several groups of political leaders of USA, UK, Germany, France, Russia and G20. We demonstrate that this approach allows to recover reliably direct and hidden links among political leaders. We argue that the reduced Google matrix method can form the mathematical basis for studies in social and political sciences analyzing Leader-Members eXchange (LMX).

Suggested Citation

  • Klaus M. Frahm & Katia Jaffrès-Runser & Dima L. Shepelyansky, 2016. "Wikipedia mining of hidden links between political leaders," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(12), pages 1-21, December.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:12:d:10.1140_epjb_e2016-70526-3
    DOI: 10.1140/epjb/e2016-70526-3
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    Citations

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    Cited by:

    1. Denis Demidov & Klaus M. Frahm & Dima L. Shepelyansky, 2019. "What is the central bank of Wikipedia?," Papers 1902.07920, arXiv.org.
    2. Demidov, Denis & Frahm, Klaus M. & Shepelyansky, Dima L., 2020. "What is the central bank of Wikipedia?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    3. Frahm, Klaus M. & Shepelyansky, Dima L., 2020. "Google matrix analysis of bi-functional SIGNOR network of protein–protein interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    4. Célestin Coquidé & José Lages & Dima Shepelyansky, 2020. "Interdependence of sectors of economic activities for world countries from the reduced Google matrix analysis of WTO data," Post-Print hal-02132487, HAL.
    5. C'elestin Coquid'e & Jos'e Lages & Dima L. Shepelyansky, 2024. "Opinion formation in the world trade network," Papers 2401.02378, arXiv.org, revised Feb 2024.
    6. Célestin Coquidé & José Lages & Leonardo Ermann & Dima Shepelyansky, 2022. "COVID-19 impact on the international trade," Post-Print hal-03536528, HAL.
    7. Célestin Coquidé & José Lages & Dima Shepelyansky, 2024. "Opinion Formation in the World Trade Network," Post-Print hal-04461784, HAL.
    8. C'elestin Coquid'e & Leonardo Ermann & Jos'e Lages & D. L. Shepelyansky, 2019. "Influence of petroleum and gas trade on EU economies from the reduced Google matrix analysis of UN COMTRADE data," Papers 1903.01820, arXiv.org.

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    Keywords

    Statistical and Nonlinear Physics;

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