Work

Naštevanje vzponov in spustov, dolin in vrhov v Catalanovih besedah

Year: 2025

Type: article

Abstract: We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), l-valleys, valleys, symmetric valleys, l-peaks, peaks, and symmetric peaks. We also establish some bijections with restricted Dyck paths and ordered trees that transports some statistics.

Source: Repository of the University of Primorsk (University of Primorska)

Authors: Baril, Jean-Luc, Harris, Pamela, Harry, Kimberly, McClinton, Matt, Ramírez, José L.

Institutions: Université de Bourgogne, Université Bourgogne Franche-Comté, University of Wisconsin–Milwaukee, Universidad Nacional de Colombia

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Universidad Nacional de Colombia

OpenAlex ID: W7115292546

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