Combinatorics on bounded free Motzkin paths and its applications

DOI10.37236/11375OpenAlexW4360849767MaRDI QIDQ2699641

Hayan Nam, Hyunsoo Cho, Jaebum Sohn, JiSun Huh

Publication date: 19 April 2023

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

Full work available at URL: https://arxiv.org/abs/2205.15554

zbMATH Keywords

bounded free Dyck pathsbounded Motzkin prefixes

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Counting paths in corridors using circular Pascal arrays
• Statistics on bargraphs viewed as cornerless Motzkin paths
• Self-conjugate simultaneous \(p\)- and \(q\)-core partitions and blocks of \(A_n\)
• Self-conjugate \((s,s+d,\dots ,s+pd)\)-core partitions and free Motzkin paths
• Corners of self-conjugate \((s,s + 1)\)-cores and \(( \overline{s}, \overline{s + 1})\)-cores
• The \((s,s+d,\dots,s+pd)\)-core partitions and the rational Motzkin paths
• Combinatorics on lattice paths in strips
• The on-line encyclopedia of integer sequences
• The Corners of Core Partitions
• Between Broadway and the Hudson: A Bijection of Corridor Paths

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