Séminaire Lotharingien de Combinatoire, 89B.21 (2023), 12 pp.
Loïc Le Mogne and Viviane Pons
Deficit and (q,t)-symmetry in Triangular Dyck Paths
Abstract.
We study the (q,t)-enumeration of triangular Dyck paths considered by Bergeron and Mazin. To do so, we introduce the notion of triangular and sim-sym tableaux and the deficit statistic which is a new interpretation of the dinv. We use it to obtain new results and proofs on triangular 2-partitions and an interesting conjecture for a certain lattice interval (q,t,r)-enumeration.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
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