Social networks: Prestige, centrality, and influence (Invited paper)

Agnieszka Rusinowska (1) , Rudolf Berghammer (2) , Harrie de Swart (3) , Michel Grabisch (1)

1 CES - Centre d'économie de la Sorbonne
2 Institut für Informatik
3 Faculteit Wijsbegeerte-Logica en taalanalyse

We deliver a short overview of di erent centrality measures and influence concepts in social networks, 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-related measures. We consider centrality of a node and of a network. Moreover, we give a classi cation of the centrality measures based on a topology of network flows. Furthermore, we present a certain model of influence in a social network and discuss some applications of relation algebra and RelView to this model.

Mots clés: social network; centrality; prestige; influence; relation algebra; RelView

Domaines: Economies et finances

Agnieszka Rusinowska, Rudolf Berghammer, Harrie de Swart, Michel Grabisch. Social networks: Prestige, centrality, and influence (Invited paper). de Swart. RAMICS 2011, Springer, pp.22-39, 2011, Lecture Notes in Computer Science (LNCS) 6663. ⟨hal-00633859⟩