Condorcet domains of tiling type

DOI10.1016/j.dam.2011.08.001zbMath1238.91053arXiv1011.2888OpenAlexW2037202941MaRDI QIDQ423890

Alexander V. Karzanov, Vladimir I. Danilov, Gleb A. Koshevoy

Publication date: 30 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2888

zbMATH Keywords

rhombus tilingweak Bruhat orderalternating schemeCondorcet domainFishburn's conjecturepseudo-line arrangement

Mathematics Subject Classification ID

Voting theory (91B12) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items

The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders, A classification of peak-pit maximal Condorcet domains, Symmetric maximal Condorcet domains, Structure of single-peaked preferences, Majority rule on rhombus tilings and Condorcet super-domains, Towards a classification of maximal peak-pit Condorcet domains, The single-peaked domain revisited: a simple global characterization, Cambrian acyclic domains: counting \(c\)-singletons, A simple construction of complete single-peaked domains by recursive tiling, Condorcet domains, median graphs and the single-crossing property, Condorcet domains satisfying Arrow's single-peakedness, Structured preferences: a literature survey, Constructing large peak-pit Condorcet domains

Cites Work

• Plücker environments, wiring and tiling diagrams, and weakly separated set-systems
• Axioms and hulls
• Rhombic tilings of polygons and classes of reduced words in Coxeter groups
• Parametrizations of canonical bases and totally positive matrices
• Acyclic sets of linear orders
• Higher Bruhat orders and cyclic hyperplane arrangements
• Acyclic sets of linear orders via the Bruhat orders
• The Weak Bruhat Order of $\text{S}_\Sigma $, Consistent Sets, and Catalan Numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item