Author:

Keywords:

Science & Technology, Technology, Computer Science, Interdisciplinary Applications, Information Science & Library Science, Computer Science, Network theory, Q-measures, Betweenness centrality, 0102 Applied Mathematics, 0807 Library and Information Studies, Information & Library Sciences, 4610 Library and information studies

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. © 2014 Elsevier Ltd.