On the sweep map for \(\vec{k}\)-Dyck paths

zbMath1420.05018arXiv1811.07475MaRDI QIDQ2325763

Guoce Xin, Yingrui Zhang

Publication date: 30 September 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07475

zbMATH Keywords

Young tableaux

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of representation theory (05E10)

Related Items (3)

Enumeration of generalized Dyck paths based on the height of down-steps modulo \(k\) ⋮ On parity unimodality of \(q\)-Catalan polynomials ⋮ Dinv, area, and bounce for \(\overrightarrow{k} \)-Dyck paths

Cites Work

• Unnamed Item
• Rational parking functions and Catalan numbers
• Sweep maps: a continuous family of sorting algorithms
• Dinv and area
• Inverting the rational sweep map
• Compactified Jacobians and \(q,t\)-Catalan numbers. I.
• Conjectured statistics for the higher \(q,t\)-Catalan sequences
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• Compactified Jacobians and \(q,t\)-Catalan numbers. II
• Sweeping up zeta

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