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math.CO2026
Coxeter Condorcet domains
Yibo Gao, Yulin Peng
Condorcet domains are subsets of permutations that ensure pairwise majority voting yields acyclic outcomes, and they form an active area of research at the intersection of social c…
math.CO2026
MacNeille completions of parabolic quotients
Yibo Gao, Hanlin Xu
Alternating sign matrices (ASMs) arise as the Dedekind-MacNeille completion of the Bruhat order on the symmetric group. They enjoy fruitful combinatorial and geometric properties,…