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

Authors

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

DOI:

https://doi.org/10.17821/srels/2013/v50i5/43758

Keywords:

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

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.

Downloads

Download data is not yet available.

References

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.

Downloads

Published

2013-10-03

How to Cite

Liu, Y., Gun, R., & Rousseau, R. (2013). A Binary Tree as a Basic Model for Studying Hierarchies using Q-Measures. Journal of Information and Knowledge, 50(5), 521–528. https://doi.org/10.17821/srels/2013/v50i5/43758

Issue

Volume 50, Issue 5, October 2013

Section

Articles

License

All the articles published in Journal of Information and Knowledge are held by the Publisher. Sarada Ranganathan Endowment for Library Science (SRELS), as a publisher requires its authors to transfer the copyright prior to publication. This will permit SRELS to reproduce, publish, distribute and archive the article in print and electronic form and also to defend against any improper use of the article.

Crossref
Scopus
Google Scholar
Europe PMC
Received 2013-12-26
Accepted 2013-12-26
Published 2013-10-03