Rousseau and His Team’s Study on Gefura Measures

Li Weigang

TransLab, Department of Computer Science, University of Brasilia, Brasilia-DF, Brazil.

DOI: 10.4236/sn.2015.42006                

Abstract

Guns and Rousseau’s recently published paper in FITEE gives a clear introduction about some important research results related to complex networks, which deepens people’s understanding of network characteristics, and puts forward new measures and models. The proposed gefura measures show the significance of appropriately using a “basic” normalization to describe the betweenness centrality of nodes, and then the “structural” normalization to pay more attention to the level of groups. The term “gefura measures” is from old Greek γεφυρα, meaning bridge measure, a more descriptive term with universal appeal. More specifically, they applied the Brandes algorithm to calculate the gefura measures, which makes their article easier to apply to practical cases. Even in academia, any new ideas, concepts, indicators and models should stand the test of time. The spirit of innovation of Rousseau and his team is highly recommendable. We sincerely hope that the study on gefura measures can raise more concerns, and can be recognized and used by social scientists, informetricians, and colleagues studying complex networks from all over the world as an important outcome.

Keywords

Complex Networks, Follow Model, Gefura Measures, Q-Measure, Rousseau

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Guns, R. and Rousseau, R. (2015) Unnormalized and Normalized Forms of Gefura Measures in Directed and Undirected Networks. Frontiers of Information Technology & Electronic Engineering, 16, 311-320. http://dx.doi.org/10.1631/FITEE.1400425
[2]	Gould, R.V. and Fernandez, R.M. (1989) Structures of Mediation: A Formal Approach to Brokerage in Transaction Networks. Sociological Methodology, 19, 89-126. http://dx.doi.org/10.2307/270949
[3]	Freeman, L.C., Borgatti, S.P. and White, D.R. (1991) Centrality in Valued Graphs: A Measure of Betweenness Based on Network Flow. Social Network, 13, 141-154. http://dx.doi.org/10.1016/0378-8733(91)90017-N
[4]	Wasserman, S. and Faust, K. (1994) Social Network Analysis: Methods and Applications. Cambridge University Press, Cambridge, UK. http://dx.doi.org/10.1017/CBO9780511815478
[5]	Flom, P.L., Friedman, S.R. and Strauss, S. (2004) A New Measure of Linkage between Two Sub-Networks. Connections, 26, 62-70.
[6]	Brandes, U. (2001) A Faster Algorithm for Betweenness Centrality. Journal of Mathematical Sociology, 25, 163-177. http://dx.doi.org/10.1080/0022250X.2001.9990249
[7]	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. Proceedings of 12th International Society for Scientometrics and Informetrics (ISSI), Vienna, July 2012, 131-142.
[8]	Guns, R. and Liu, Y.X. (2010) Scientometric Research in China in Context of International Collaboration. Proceedings of 6th International Conference on Scientometrics and University Evaluation, Wuhan, November 2010, 112-115.
[9]	Liu, Y.X., Guns, R. and Rousseau, R. (2013) A Binary Tree as a Basic Model for Studying Hierarchies Using Q-Measures. SRELS Journal of Information Management, 50, 521-528.
[10]	Sandes, E.F.O, Weigang, L. and Melo, A.C.M. (2012) Logical Model of Relationship for Online Social Networks and Performance Optimizing of Queries. Proceedings of the 13th International Conference on Web Information Systems Engineering, Paphos, Cyprus, 28-30 November 2012, 726-736.
[11]	Weigang, L., Sandes, E.F.O., Zheng, J., Melo, A.C.M. and Uden, L. (2014) Querying Dynamic Communities in Online Social Networks. Journal of Zhejiang University-SCIENCE C (Computers & Electronics), 15, 81-90. http://dx.doi.org/10.1631/jzus.C1300281
[12]	Wu, Y. (2015) Introduction of Timeline of Bibliometrics by Rousseau. Chinese SCIENCENET Blog. http://blog.sciencenet.cn/blog-1557-874940.html
[13]	Zhou, T. (2015) Introduction of the Advance in the Research on Routing Strategy of Networks. Chinese SCIENCENET Blog. http://blog.sciencenet.cn/blog-3075-876277.html
[14]	Cheng, C., Guo, Q. and Liu, J. (2015) Advance in the Research on Routing Strategy of Networks. Journal of University of Electronic Science and Technology of China, 44, 2-11.
[15]	Weigang, L. (2015) Introduction of Rousseau and His Team’s Study on Gefura Measures, Chinese SCIENCENET Blog. http://blog.sciencenet.cn/blog-652078-879702.html