Journal of Information and Knowledge (Formerly SRELS Journal of Information Management)

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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.
User
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


Notifications

  • Flom, P.L.; Friedman, S.R.; Strauss, S. and Neaigus, A. (2004) A new measure of linkage between two subnetworks. Connections, 26(1): 62–70.

  • Guns, R.; Liu, YX and Mahbuba, D. (2011) Q-measures and betweenness centrality in a collaboration network: a case study of the field of informetrics. Scientometrics, 87(1): 133-147.

  • Guns, R. and Rousseau, R. (2009) Gauging the bridging function of nodes in a network: Q-measures for networks with a finite number of subgroups. In: Larsen, B. & Leta, J. (eds.), Proceedings of ISSI 2009 – the 12th International Conference on Scientometrics and Informetrics, 131–142.

  • Maslov, S.; Sneppen, M. and Zaliznyak, A. (2004) Detection of topological patterns in complex networks: correlation profile of the internet. Physica A – Statistical Mechanics and its Applications, 333: 529-540.

  • Otlet, P. (1934) Traité de Documentation, le Livre sur le Livre [Treatise on documentation; the book on the book]. Brussels: D. Van Keerberghen & Sons.

  • Pritchard, A. (1969) Statistical bibliography or bibliometrics? Journal of Documentation, 25(4): 348-349.

  • Ranganathan, S.R. (1995) Librametry and its scope (reprint). JISSI. The International Journal of Scientometrics and Informetrics, 1(1): 15-21.

  • Rousseau, R. (2005) Q-measures for binary divided networks: an investigation within the field of informetrics. Proceedings of the 68th ASIST Conference, 42: 675–696.

  • Rousseau, R.; Liu, YX and Guns, R. (2013) Mathematical properties of Q-measures. Journal of Informetrics (to appear).

  • Zhang, L.; Thijs, B. and Glänzel, W. (2013) What does scientometrics share with other “metrics” sciences? Journal of the American Society for Information Science and Technology, 64(7): 1515-1518.


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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