Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/22828
Title: Partial orders for zero-sum arrays with applications to network theory
Authors: Liu, Yunjun
Rousseau, Ronald
EGGHE, Leo 
Issue Date: 2017
Source: Journal of Informetrics, 11 (1), p. 257-274
Abstract: In this contribution we study partial orders in the set of zero-sum arrays. Concretely, these partial orders relate to local and global hierarchy and dominance theories. The exact relation between hierarchy and dominance curves is explained. Based on this investigation we design a new approach for measuring dominance or stated otherwise, power structures, in networks. A new type of Lorenz curve to measure dominance or power is proposed, and used to illustrate intrinsic characteristics of networks. The new curves, referred to as D-curves are partly concave and partly convex. As such they do not satisfy Dalton’s transfer principle. Most importantly, this article introduces a framework to compare different power structures as a whole. It is shown that D-curves have several properties making them suitable to measure dominance. If dominance and being a subordinate are reversed, the dominance structure in a network is also reversed.
Notes: Egghe, L (reprint author), Univ Hasselt UHasselt, Campus Diepenbeek,Agoralaan, B-3590 Diepenbeek, Belgium. yxliu@tongji.edu.cn; ronald.rousseau@uantwerpen.be; leo.egghe@uhasselt.be
Keywords: zero-sum arrays; dominance; hierarchy; power structures; pseudo-Lorenz curves; Acyclic digraphs
Document URI: http://hdl.handle.net/1942/22828
ISSN: 1751-1577
e-ISSN: 1875-5879
DOI: 10.1016/j.joi.2016.11.006
ISI #: 000396614600019
Rights: © 2016 Elsevier Ltd. All rights reserved.
Category: A1
Type: Journal Contribution
Validations: ecoom 2018
Appears in Collections:Research publications

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