Social networks: prestige, centrality, and influence

  • Authors:
  • Agnieszka Rusinowska;Rudolf Berghammer;Harrie De Swart;Michel Grabisch

  • Affiliations:
  • Centre d'Economie de la Sorbonne, Université Paris I Panthéon-Sorbonne, Paris, France;Institut für Informatik, Universität Kiel, Kiel, Germany;Department of Philosophy, Erasmus University Rotterdam, DR Rotterdam, The Netherlands;Centre d'Economie de la Sorbonne, Université Paris I Panthéon-Sorbonne, Paris, France

  • Venue:
  • RAMICS'11 Proceedings of the 12th international conference on Relational and algebraic methods in computer science
  • Year:
  • 2011

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Abstract

We deliver a short overview of different centrality measures and influence concepts in socialnetworks, and present the relation-algebraic approach to the concepts of power and influence. First, we briefly discuss four kinds of measures of centrality: the ones based on degree, closeness, betweenness, and the eigenvector-relatedmeasures.We consider centrality of a node and of a network.Moreover, we give a classification of the centrality measures based on a topology of network flows. Furthermore, we present a certainmodel of influence in a social network and discuss some applications of relation algebra and RelView to this model.