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Dynamic aspects of domination networks Personal View

Yu-xian LIU, Ronald ROUSSEAU

Frontiers of Information Technology & Electronic Engineering 2020, Volume 21, Issue 4, Pages 635-648 doi: 10.1631/FITEE.1800553

Abstract: A dynamic quantitative theory and measurement of power or dominance structures are proposed. Such power structures are represented as directed networks. A graph somewhat similar to the Lorenz curve for inequality measurement is introduced. The changes in the graph resulting from network dynamics are studied. Dynamics are operationalized in terms of added nodes and links. Study of dynamic aspects of networks is essential for potential applications in many fields such as business management, politics, and social interactions. As such, we provide examples of a dominance structure in a directed, acyclic network. We calculate the change in the D-measure, which is a measure expressing the degree of dominance in a network when nodes are added to an existing simple network.

Keywords： Domination Power structure Digraphs Network dynamics