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Applying relation algebra and RelView to measures in a social network
Authors:Rudolf Berghammer  Agnieszka Rusinowska  Harrie de Swart
Affiliation:1. Institut für Informatik, Christian-Albrechts-Universität Kiel Olshausenstraße 40, 24098 Kiel, Germany;2. GATE, Université Lumière Lyon 2 – CNRS, 93 Chemin des Mouilles – B.P. 167, 69131 Ecully Cedex, France;3. Department of Philosophy, Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands
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.
Keywords:RelView   Relation algebra   Social network   Hoede&ndash  Bakker index   Influence index
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