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Centrality measures in networks based on nodes attributes, long-range interactions and group influence

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  • F. Aleskerov
  • N. Meshcheryakova
  • S. Shvydun

Abstract

We propose a new method for assessing agents influence in network structures, which takes into consideration nodes attributes, individual and group influences of nodes, and the intensity of interactions. This approach helps us to identify both explicit and hidden central elements which cannot be detected by classical centrality measures or other indices.

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  • F. Aleskerov & N. Meshcheryakova & S. Shvydun, 2016. "Centrality measures in networks based on nodes attributes, long-range interactions and group influence," Papers 1610.05892, arXiv.org.
    • Handle: RePEc:arx:papers:1610.05892
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    References listed on IDEAS

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    1. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    2. Fuad Aleskerov, 2006. "Power Indices Taking into Account Agents’ Preferences," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 1-18, Springer.
    3. Oleg Poldin & Dilyara Valeeva & Maria Yudkevich, 2013. "How social ties affect peer-group effects: a case of university students," HSE Working papers WP BRP 15/SOC/2013, National Research University Higher School of Economics.
    4. Aleskerov, Fuad & Yakuba, Vyacheslav & Yuzbashev, Dmitriy, 2007. "A `threshold aggregation' of three-graded rankings," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 106-110, January.
    5. Fuad Aleskerov & Vyacheslav Chistyakov & Valery Kalyagin, 2010. "Social threshold aggregations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(4), pages 627-646, October.
    6. BLONDEL, Vincent D. & GAJARDO, Anahi & HYEMANS, Maureen & SENELLART, Pierre, 2004. "A measure of similarity between graph vertices: Applications to synonym extraction and web searching," LIDAM Reprints CORE 1798, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
    8. Fuad Aleskerov & Irina Andrievskaya & Elena Permjakova, 2014. "Key Borrowers Detected By The Intensities Of Their Short-range Interactions," HSE Working papers WP BRP 33/FE/2014, National Research University Higher School of Economics.
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    Cited by:

    1. Fuad Aleskerov & Irina Gavrilenkova & Sergey Shvydun & Vyacheslav Yakuba, 2020. "Power Distribution in the Networks of Terrorist Groups: 2001–2018," Group Decision and Negotiation, Springer, vol. 29(3), pages 399-424, June.
    2. Fuad Aleskerov & Natalia Meshcheryakova & Alisa Nikitina & Sergey Shvydun, 2016. "Key Borrowers Detection by Long-Range Interactions," HSE Working papers WP BRP 56/FE/2016, National Research University Higher School of Economics.
    3. Maxim Kotsemir, 2019. "Unmanned aerial vehicles research in Scopus: an analysis and visualization of publication activity and research collaboration at the country level," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(4), pages 2143-2173, July.

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