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


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

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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.

Keywords

Global Q-measures, Local Q-measures, Rooted Trees.
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About The Authors

Yuxian Liu
Library of Tongji University, Tongji University, Siping Street 1239, Shanghai, 200092
China

Raf Gun
Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000
Belgium

Ronald Rousseau
Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000
Belgium


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

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Authors

Yuxian Liu
Library of Tongji University, Tongji University, Siping Street 1239, Shanghai, 200092, China
Raf Gun
Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000, Belgium
Ronald Rousseau
Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000, Belgium

Abstract


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.

Keywords


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

References