Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423688 | Electronic Notes in Discrete Mathematics | 2016 | 6 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Cesar Ceballos, Arnau Padrol, Camilo Sarmiento,