Symmetric Dyck paths and q-Narayana numbers
Johann Cigler
TL;DR
This paper demonstrates that q-Narayana numbers at q=-1 precisely count symmetric Dyck paths based on their valleys, revealing a new combinatorial interpretation.
Contribution
It introduces a novel connection between q-Narayana numbers at q=-1 and symmetric Dyck paths, enriching the combinatorial understanding of these numbers.
Findings
q-Narayana numbers at q=-1 count symmetric Dyck paths by valleys
Establishes a new combinatorial interpretation of q-Narayana numbers
Enhances understanding of symmetric Dyck path enumeration
Abstract
We show that the q-Narayana numbers for q=-1 count symmetric Dyck paths according to the number of their valleys.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Mathematical Identities