Journal of Scientometric Research, 2019, 8, 1, 01-08.
DOI: 10.5530/jscires.8.1.1
Published: April 2019
Type: Research Article
Yuxian Liu1,2, Ronald Rousseau3,*
1Tongji University Library, Tongji University, Siping Street 1239, Yangpu District, Shanghai- 200092, CHINA.
2School of History and Archives, Yunnan University, Kunming 650091, CHINA.
3University of Antwerp, Faculty of Social Sciences, Middelheimlaan 1, 2020 Antwerpen, Belgium and KU Leuven ECOOM, Naamsestraat 61, 3000 Leuven, BELGIUM.
Abstract:
In this article we continue our study of power structures. A dynamic quantitative theory, including the measurement of power or dominance structures is applied to citation networks. A curve somewhat similar to the Lorenz curve for inequality measurement is used. We calculate the D-measure, a normalized measure expressing the degree of dominance in a network. The D-measure of a citation network consisting of the ego (the original article) with n references and m received citations is obtained. When n=m the network is symmetric and the D-measure is 0.5; when the article did not yet receive a citation the D-measure is n/(n+1). When the article has no references then the D-measure is 1/(m+1). A real-world case is described and the evolution of its D-measure over time is shown. Our work is one way of describing an evolving ego-citation network in a quantitative way.