Properties of the poset of Dyck paths ordered by inclusion
Jennifer Woodcock
TL;DR
This paper explores the structural properties of the partially ordered set formed by Dyck paths when ordered by inclusion, providing insights into their combinatorial and lattice-theoretic characteristics.
Contribution
It offers an expository overview of the properties of the Dyck path poset, highlighting new observations and clarifications in its combinatorial structure.
Findings
Characterization of the poset structure
Identification of lattice properties
Insights into combinatorial enumeration
Abstract
An expository summary of properties of the poset of Dyck paths ordered by inclusion.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algorithms and Data Compression · Mathematical Dynamics and Fractals