Combinatorics for Certain Skew Young Tableaux, Dyck Paths, Triangulations, and Dissections
Su Ji Hong, George D. Nasr
TL;DR
This paper explores combinatorial relationships and identities connecting skew Young tableaux, Dyck paths, triangulations, and dissections through bijections.
Contribution
It introduces new combinatorial bijections and identities linking these structures, enhancing understanding of their interrelations.
Findings
Established bijections between skew Young tableaux and Dyck paths
Derived new combinatorial identities involving triangulations and dissections
Unified various combinatorial objects under a common framework
Abstract
We present combinatorial bijections and identities between certain skew Young tableaux, Dyck paths, triangulations, and dissections.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Advanced Mathematical Identities