Bijections from Dyck and Motzkin meanders with catastrophes to pattern avoiding Dyck paths

04/02/2021

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by   Jean-Luc Baril, et al.

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In this note, we present constructive bijections from Dyck and Motzkin meanders with catastrophes to Dyck paths avoiding some patterns. As a byproduct, we deduce correspondences from Dyck and Motzkin excursions to restricted Dyck paths.