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Towards a classification of maximal peak-pit Condorcet domains
Mathematical Social Sciences ( IF 0.5 ) Pub Date : 2021-08-04 , DOI: 10.1016/j.mathsocsci.2021.07.005
Guanhao Li 1 , Clemens Puppe 2, 3 , Arkadii Slinko 1
Affiliation  

In this paper, we classify all maximal peak-pit Condorcet domains of maximal width for n5 alternatives. To achieve this, we bring together ideas from several branches of combinatorics. The main tool used in the classification is the ideal of a domain. In contrast to the size of maximal peak-pit Condorcet domains of maximal width themselves, the size of their associated ideal is constant.



中文翻译:

对最大峰坑孔多塞域的分类

在本文中,我们将最大宽度的所有最大峰坑孔多塞域分类为 n5备择方案。为了实现这一点,我们汇集了来自组合学几个分支的想法。分类中使用的主要工具是理想的域。与最大宽度本身的最大峰坑孔多塞域的大小相反,其相关理想的大小是恒定的。

更新日期:2021-08-15
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