A Short Conceptual Proof of Narayana's Path-Counting Formula

We deduce Narayana's formula for the number of lattice paths that fit in a Young diagram as a direct consequence of the Gessel-Viennot theorem on non-intersecting lattice paths.

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Veröffentlicht in:The Electronic journal of combinatorics 2016-10, Vol.23 (4)
1. Verfasser: Ciucu, Mihai
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:We deduce Narayana's formula for the number of lattice paths that fit in a Young diagram as a direct consequence of the Gessel-Viennot theorem on non-intersecting lattice paths.
ISSN:1077-8926
1077-8926
DOI:10.37236/6131