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Discrete Mathematics & Theoretical Computer Science |
We study two different objects attached to an arbitrary quadrangulation of a regular polygon. The first one is a poset, closely related to the Stokes polytopes introduced by Baryshnikov. The second one is a set of some paths configurations inside the quadrangulation, satisfying some specific constraints. These objects provide a generalisation of the existing combinatorics of cluster algebras and nonnesting partitions of type A.
Source : ScholeXplorer
IsRelatedTo ARXIV 1604.06009 Source : ScholeXplorer IsRelatedTo DOI 10.46298/dmtcs.6379 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1604.06009
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