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.

}, keywords = {Citation graphs, Network dynamics, Network properties, Power structure, Time Evolution}, doi = {10.5530/jscires.8.1.1}, author = {Yuxian Liu and Ronald Rousseau} }