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math.CO2026
Noncrossing Partitions From Hull Configurations
Michael Dougherty, Gina Root
Each finite configuration of points in the plane determines a corresponding lattice of noncrossing partitions. When these points form the vertex set of a convex polygon, the associ…
math.CO2026
The Geometry of Rectangular Multisets
Michael Dougherty, Jon McCammond
This article describes a natural piecewise Euclidean bi-simplicial cell structure for the space of -element multisets in a fixed Euclidean rectangle. In particular, we highlight…