Article ID Journal Published Year Pages File Type
6423688 Electronic Notes in Discrete Mathematics 2016 6 Pages PDF
Abstract

We revisit the associahedral subdivision of the Pitman-Stanley polytope to provide geometric realizations of the ν-Tamari lattice of Préville-Ratelle and Viennot (which generalizes the m-Tamari lattice) as the dual of a triangulation of a polytope, as the dual of a mixed subdivision and as the edge-graph of a polyhedral complex induced by a tropical hyperplane arrangement. The method generalizes to type Bn.

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Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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