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ISSN 2095-9184 (print), ISSN 2095-9230 (online)

Dynamic aspects of domination networks

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.

Key words: Domination, Power structure, Digraphs, Network dynamics

Chinese Summary  <20> 权力网络主导力的动态变化研究


刘玉仙1,2,Ronald ROUSSEAU3,4
1同济大学图书馆,中国上海市,200092
2云南大学历史与档案学院,中国昆明市,650091
3安特卫普大学社会科学系,比利时安特卫普,2020
4鲁汶大学,科技研发监测中心,比利时鲁汶,3000

摘要:本文试图对权力结构主导力的变化进行测度。权力结构用有向网络表示。设计类似测度不平等性劳伦茨曲线的曲线测度权力结构主导力,并研究网络动态变化引起这种曲线的变化情况。网络结构的动态变化通过增加链接和节点表示;这类变化在商业管理、政治和社会互动等很多领域都有潜在应用,因而有必要研究。提供有向无环网络权力结构的几个例子,并计算在既有简单网络加上节点后,测度权力结构主导力指标(D-measure)的变化情况。

关键词组:主导力;权力结构;有向图;网络变化


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DOI:

10.1631/FITEE.1800553

CLC number:

C36; TP301

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On-line Access:

2018-12-28

Received:

2018-09-11

Revision Accepted:

2018-12-02

Crosschecked:

2019-12-21

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