An area-depth symmetric \(q, t\)-Catalan polynomial
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Publication:2138569
DOI10.37236/10743zbMath1487.05271arXiv2109.06300OpenAlexW3200177570MaRDI QIDQ2138569
Joseph Pappe, Anne Schilling, Digjoy Paul
Publication date: 12 May 2022
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.06300
Trees (05C05) Graph polynomials (05C31) Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Enumeration in graph theory (05C30)
Uses Software
Cites Work
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- Combinatorics of the zeta map on rational Dyck paths
- Sweep maps: a continuous family of sorting algorithms
- Depth-first search as a combinatorial correspondence
- Une famille de polynômes ayant plusieurs propriétés enumeratives
- An involution on Dyck paths and its consequences
- The Catalan matroid
- LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
- A new bijection between ordered trees and legal bracketings
- A proof of the \(q,t\)-Catalan positivity conjecture
- Conjectured statistics for the \(q,t\)-Catalan numbers.
- A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
- Trees, parking functions and factorizations of full cycles
- \texttt{Findstat} -- a database and search engine for combinatorial statistics and maps
- On maximal chains in the non-crossing partition lattice
- A conjectured combinatorial formula for the Hilbert series for diagonal harmonics
- On a new collection of words in the Catalan family
- 𝑎𝑑-nilpotent 𝔟-ideals in 𝔰𝔩(𝔫) having a fixed class of nilpotence: combinatorics and enumeration
- Catalan Numbers
- Sweeping up zeta
- The steep-bounce zeta map in parabolic Cataland
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