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Bibliographic Details
Main Author: Slinko, Arkadii
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.05406
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Table of Contents:
  • The most studied class of Condorcet domains (acyclic sets of linear orders) is the class of peak-pit domains of maximal width. It has a number of combinatorial representations by such familiar combinatorial objects like rhombus tilings and arrangements of pseudolines. Arrow's single-peaked domains are peak-pit but do not have maximal width. We suggest how to represent them by means of generalised arrangements of pseudolines.