Vertex Centralities in Input-Output Networks Reveal the Structure of Modern Economies Florian Bl¨ ochl,1, ∗ Fabian J. Theis,1, 2 Fernando Vega-Redondo,3, 4 and Eric O’N. Fisher5 1 Helmholtz Zentrum M¨ unchen, Ingolst¨ adter Landstraße 1, 85764 Neuherberg,...
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Vertex Centralities in Input-Output Networks Reveal the Structure of Modern Economies Florian Bl¨ ochl,1, ∗ Fabian J. Theis,1, 2 Fernando Vega-Redondo,3, 4 and Eric O’N. Fisher5 1 Helmholtz Zentrum M¨ unchen, Ingolst¨ adter Landstraße 1, 85764 Neuherberg, Germany 2 Institute for Mathematical Sciences, Technische Universit¨ at M¨ unchen, Munich, Germany 3 Economics Department, European University Institute, Florence, Italy 4 Instituto Valenciano de Investigaciones Economicas, Valencia, Spain 5 Orfalea College of Business, California State Polytechnic University, San Luis Obispo, CA, USA (Dated: January 23, 2011) Input-output tables describe the flows of goods and services between the sectors of an economy. These tables can be interpreted as weighted directed networks. At the usual level of aggregation, they contain nodes with strong self-loops and are almost completely connected. We derive two measures of node centrality that are well suited for such networks. Both are based upon random
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