An addendum and correction to “Mathematical properties of Q-measures” (vol. 7, issue 3, pp. 737–745) |
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| Institution: | 1. Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp B-2000, Belgium;2. KU Leuven, Department of Mathematics, Celestijnenlaan 200B, B-3000 Leuven, Belgium;3. Library of Tongji University, Tongji University, Siping Street 1239, Shanghai 200092, China;4. SPRU, School of Business, Management and Economics, University of Sussex, Falmer, Brighton BN1 9SL, UK;5. Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp B-2000, Belgium;1. CNRS (LAMSADE, UMR 7243) & Université Paris Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France;2. Ghent University, Department of Data Analysis, H. Dunantlaan, 1, B-9000 Gent, Belgium;1. Division for Science and Innovation Studies, Administrative Headquarters of the Max Planck Society, Munich, Germany;2. Eickedorfer Damm 35, 28865 Lilienthal, Germany;3. CSIC, Institute of Public Goods and Policies (IPP), Madrid, Spain;4. Professorship for Social Psychology and Research on Higher Education, ETH Zurich, Zurich, Switzerland |
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| Abstract: | A correction is provided for the proof of a theorem announced in (Rousseau et al., 2013). We show, moreover, that in a network subdivided into three or more subgroups there is at most one node with global Q-measure equal to one. In case there are two subgroups then it is possible to have two nodes with global Q-measure equal to one. This characterization leads to a graphical representation of networks having the maximum possible number of nodes with Q-measure equal to one. |
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| Keywords: | Network theory Q-measures Betweenness centrality |
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