Partial orders for zero-sum arrays with applications to network theory
作者：
Highlights：
• We introduce several partial orders in the set of zero-sum arrays.
• This leads to theories of hierarchy and domination.
• We introduce a framework to compare power structures.
• This theory is applied to directed, acyclic networks.
摘要
•We introduce several partial orders in the set of zero-sum arrays.•This leads to theories of hierarchy and domination.•We introduce a framework to compare power structures.•This theory is applied to directed, acyclic networks.
论文关键词：Zero-sum arrays,Dominance,Hierarchy,Power structures,Pseudo-Lorenz curves,Acyclic digraphs
论文评审过程：Received 6 September 2016, Revised 17 November 2016, Accepted 22 November 2016, Available online 21 January 2017, Version of Record 21 January 2017.
论文官网地址：https://doi.org/10.1016/j.joi.2016.11.006
