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Vulnerability and power on networks

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  • BOZZO, ENRICO
  • FRANCESCHET, MASSIMO
  • RINALDI, FRANCA

Abstract

Inspired by socio-political scenarios, like dictatorships, in which a minority of people exercise control over a majority of weakly interconnected individuals, we propose vulnerability and power measures defined on groups of actors of networks. We establish an unexpected connection between network vulnerability and graph regularizability. We use the Shapley value of coalition games to introduce fresh notions of vulnerability and power at node level defined in terms of the corresponding measures at group level. We investigate the computational complexity of computing the defined measures, both at group and node levels, and provide effective methods to quantify them. Finally we test vulnerability and power on both artificial and real networks.

Suggested Citation

  • Bozzo, Enrico & Franceschet, Massimo & Rinaldi, Franca, 2015. "Vulnerability and power on networks," Network Science, Cambridge University Press, vol. 3(2), pages 196-226, June.
    • Handle: RePEc:cup:netsci:v:3:y:2015:i:02:p:196-226_00
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    Cited by:

    1. Meinhardt, Holger Ingmar, 2021. "Disentangle the Florentine Families Network by the Pre-Kernel," MPRA Paper 106482, University Library of Munich, Germany.

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