Slicings of parallelogram polyominoes, or how Baxter and Schröder can be reconciled

We provide a new succession rule (i.e. generating tree) associated with Schröder numbers, that interpolates between the known succession rules for Catalan and Baxter numbers. We define Schröder and Baxter generalizations of parallelogram polyominoes (called slicings) which grow according to these...

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Bibliographic Details
Main Authors: Mathilde Bouvel, Veronica Guerrini, Simone Rinaldi
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2020-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/6357/pdf