Schröder combinatorics and \(\nu\)-associahedra

DOI10.1016/j.ejc.2021.103415zbMath1471.05009arXiv2006.09804OpenAlexW3191831692MaRDI QIDQ1979445

Matias von Bell, Martha Yip

Publication date: 2 September 2021

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09804

zbMATH Keywords

Schröder-Hipparchus numbersmall Schröder number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics of partially ordered sets (06A07) Paths and cycles (05C38) Polytopes and polyhedra (52B99)

Related Items (6)

$F$- and $H$-triangles for $\nu$-associahedra ⋮ On framed triangulations of flow polytopes, the \(\nu\)-Tamari lattice and Young's lattice ⋮ Refined lattice path enumeration and combinatorial reciprocity ⋮ Maximal degree subposets of \(\nu\)-Tamari lattices ⋮ On the subdivision algebra for the polytope \(\mathcal{U}_{I,\overline{J}}\) ⋮ Meeting covered elements in \(\nu\)-Tamari lattices

Cites Work

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• Rational associahedra and noncrossing partitions
• Combinatorics of the free Baxter algebra
• Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
• A bijection on Dyck paths and its consequences
• The associahedron and triangulations of the \(n\)-gon
• A note on: rectangular Schröder parking functions combinatorics
• The \(\nu \)-Tamari lattice via \(\nu \)-trees, \( \nu \)-bracket vectors, and subword complexes
• The generalized Schröder theory
• Geometry of $\nu $-Tamari lattices in types $A$ and $B$
• The enumeration of generalized Tamari intervals
• Combinatorial algebraic topology

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