SRELS Journal of Information Management
  • Year: 2013
  • Volume: 50
  • Issue: 5

A binary tree as a basic model for studying hierarchies using Q-measures

  • Author:
  • Yuxian Liu1, Raf Gun2, Ronald Rousseau3,4,5
  • Total Page Count: 8
  • Page Number: 521 to 528

1Library of Tongji University, Tongji University, Siping Street 1239, Shanghai, 200092, China. E-mail: yxliu@lib.tongji.edu.cn

2Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000, Belgium. E-mail: raf.guns@ua.ac.be

3Institute for Education and Information Sciences, IBW, University of Antwerp, Venusstraat 35, Antwerp, B-2000, Belgium. E-mail: ronald.rousseau@ua.ac.be

4Faculty of Engineering Technology, VIVES-KHBO (Association KU Leuven), Zeedijk 101, Oostende, B-8400, Belgium

5KU Leuven, Leuven B-3000, Belgium

Online published on 22 October, 2013.

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