Séminaire Lotharingien de Combinatoire, B79a (2018), 13 pp.

Jean-Christophe Aval and François Bergeron

A Note on: Rectangular Schröder Parking Functions Combinatorics

Abstract. We study Schröder paths drawn in an (m,n) rectangle, for any positive integers m and n. We get explicit enumeration formulas, closely linked to those for the corresponding (m,n)-Dyck paths. Moreover, we study a Schröder version of (m,n)-parking functions, and associated (q,t)-analogs.


Received: November 11, 2017. Accepted: May 1, 2018.

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