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Applying relation algebra and RelView to measures in a social network. (English) Zbl 1173.91446
Summary: 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.

MSC:
91D30 Social networks; opinion dynamics
91B12 Voting theory
Software:
Rath; RelView
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