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Noncrossing Partition Lattices from Planar Configurations (2306.08119v2)
Published 13 Jun 2023 in math.CO
Abstract: The lattice of noncrossing partitions is well-known for its wide variety of combinatorial appearances and properties. For example, the lattice is rank-symmetric and enumerated by the Catalan numbers. In this article, we introduce a large family of new noncrossing partition lattices with both of these properties, each parametrized by a configuration of n points in the plane.
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