Abstract
Given a lattice path ν, the ν-Tamari lattice and the ν-Dyck lattice are two natural examples of partial order structures on the set of lattice paths that lie weakly above ν. In this paper, we introduce a more general family of lattices, called alt ν-Tamari lattices, which contains these two examples as particular cases. Unexpectedly, we show that all these lattices have the same number of linear intervals.
| Originalsprache | englisch |
|---|---|
| Aufsatznummer | #81 |
| Seitenumfang | 12 |
| Fachzeitschrift | Séminaire Lotharingien de Combinatoire |
| Ausgabenummer | 89 |
| Publikationsstatus | Veröffentlicht - 2023 |
| Veranstaltung | 35th International Conference on "Formal Power Series and Algebraic Combinatorics" - Davis, USA / Vereinigte Staaten Dauer: 17 Juli 2023 → 21 Juli 2023 |
ASJC Scopus subject areas
- Diskrete Mathematik und Kombinatorik
Fields of Expertise
- Information, Communication & Computing