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A Binary Tree as a Basic Model for Studying Hierarchies using Q-Measures


  • Library of Tongji University, Tongji University, Siping Street 1239, Shanghai, 200092, China
  • Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000, Belgium


A binary tree is used as a model for a hierarchical structure. All nodes situated at the same height are assumed to form a group. The global and local Q-value, being measures for the extent to which a node plays a bridging function between groups, are determined. For the global Q-value this is can be done in two ways: a direct one and one via a recursion relation.


Global Q-measures, Local Q-measures, Rooted Trees.

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