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math.CO2024
A composition of Condorcet domains
Dominic Keehan, Arkadii Slinko
Inspecting known maximal Condorcet domains on 4 variables classified by Tobias Dittrich we find that 9 out of 18 of them are created using a certain composition of smaller domains.…
math.CO2024
A combinatorial representation of Arrow's single-peaked domains
Arkadii Slinko
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 s…