17 citations · 78 across the 24 of their papers we have counts for
3 papers · 1 filter
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…
Pop, Crackle, Snap (and Pow): Some Facets of Shards
Colin Defant, Nathan Williams
Reading cut the hyperplanes in a real central arrangement into pieces called \emph{shards}, which reflect order-theoretic properties of the arrangement. We show that s…
Rational Noncrossing Coxeter-Catalan Combinatorics
Pavel Galashin, Thomas Lam, Minh-Tâm Quang Trinh +1
We solve two open problems in Coxeter-Catalan combinatorics. First, we introduce a family of rational noncrossing objects for any finite Coxeter group, using the combinatorics of d…