Dynamic aspects of domination networks
Author(s) -
Yuxian Liu,
Ronald Rousseau
Publication year - 2020
Publication title -
frontiers of information technology and electronic engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.406
H-Index - 32
eISSN - 2095-9230
pISSN - 2095-9184
DOI - 10.1631/fitee.1800553
Subject(s) - dominance (genetics) , operationalization , computer science , lorenz curve , theoretical computer science , dynamic network analysis , graph , measure (data warehouse) , directed graph , network structure , network science , mathematics , topology (electrical circuits) , complex network , inequality , data mining , algorithm , epistemology , combinatorics , economic inequality , computer network , biochemistry , chemistry , gini coefficient , mathematical analysis , philosophy , gene , world wide web
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.
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