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Applying relational algebra and RelView to measures in a social network

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Author Info

  • Rudolf Berghammer

    ()
    (Institut für Informatik - Universitat Kiel)

  • Agnieszka Rusinowska

    ()
    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris I - Panthéon-Sorbonne)

  • Harrie De Swart

    ()
    (Faculteit Wijsbegeerte-Logica en taalanalyse - Universiteit van Tilburg)

Abstract

We present an application of relation algebra to measure agents' 'strength' in a social network with influence between agents. In particular, we deal with power, success, and influence of an agent as measured by the generalized Hoede-Bakker index and its modifications, and by the influence indices. We also apply relation algebra to determine followers of a coalition and the kernel of an influence function. This leads to specifications, which can be executed with the help of the BDD-based tool RelView after a simple translation into the tool's programming language. As an example we consider the present Dutch parliament.

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Bibliographic Info

Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number hal-00515878.

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Date of creation: 01 Apr 2010
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Publication status: Published, European Journal of Operational Research, 2010, 202, 1, 182-195
Handle: RePEc:hal:cesptp:hal-00515878

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00515878
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Keywords: RelView; relation algebra; social network; Hoede-Bakker index; influence index;

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  1. Michel Grabisch & Agnieszka Rusinowska, 2008. "A model of influence in a social network," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00344457, HAL.
  2. Laruelle, Annick & Widgren, Mika, 1996. "Is the Allocation of Voting Power among the EU States Fair?," Discussion Papers, The Research Institute of the Finnish Economy 556, The Research Institute of the Finnish Economy.
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Cited by:
  1. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2013. "Computing tournament solutions using relation algebra and RelView," European Journal of Operational Research, Elsevier, Elsevier, vol. 226(3), pages 636-645.
  2. Berghammer, Rudolf & Bolus, Stefan, 2012. "On the use of binary decision diagrams for solving problems on simple games," European Journal of Operational Research, Elsevier, Elsevier, vol. 222(3), pages 529-541.
  3. Berghammer, Rudolf & Bolus, Stefan & Rusinowska, Agnieszka & de Swart, Harrie, 2011. "A relation-algebraic approach to simple games," European Journal of Operational Research, Elsevier, Elsevier, vol. 210(1), pages 68-80, April.
  4. Agnieszka Rusinowska & Rudolf Berghammer & Harrie De Swart & Michel Grabisch, 2011. "Social networks: Prestige, centrality, and influence (Invited paper)," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00633859, HAL.

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