Combinatorics of labelled parallelogram polyominoes
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Publication:2258898
DOI10.1016/j.jcta.2014.12.003zbMath1307.05045arXiv1301.3035OpenAlexW2045430869MaRDI QIDQ2258898
Jean-Christophe Aval, François Bergeron, Adriano M. Garsia
Publication date: 27 February 2015
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.3035
Related Items (6)
Hilbert series of parallelogram polyominoes ⋮ Decorated Dyck Paths, Polyominoes, and the Delta Conjecture ⋮ Interlaced rectangular parking functions ⋮ Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a cyclic lemma ⋮ Statistics on parallelogram polyominoes and a \(q,t\)-analogue of the Narayana numbers ⋮ Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\)
Cites Work
- Binomial determinants, paths, and hook length formulae
- Algebraic languages and polyominoes enumeration
- A combinatorial formula for the character of the diagonal coinvariants
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- Parallelogram polyominoes, the sandpile model on a complete bipartite graph, and a \(q,t\)-Narayana polynomial
- Statistics on parallelogram polyominoes and a \(q,t\)-analogue of the Narayana numbers
- The representation of the symmetric group on \(m\)-Tamari intervals
- Higher trivariate diagonal harmonics via generalized Tamari posets
- A refinement of the shuffle conjecture with cars of two sizes and \(t=1/q\)
- A Compositional Shuffle Conjecture Specifying Touch Points of the Dyck Path
- A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
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