Skew Schur Function Representation of Directed Paths in a Slit

Skew Schur Function Representation of Directed Paths in a Slit

In this work, we establish a general relationship between the enumeration of weighted directed paths and skew Schur functions, extending work by Bousquet-M\'elou, who expressed generating functions of discrete excursions in terms of rectangular Schur functions.

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Bibliographische Detailangaben
Hauptverfasser: Khalid, Anum, Prellberg, Thomas
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Beschreibung
Zusammenfassung:In this work, we establish a general relationship between the enumeration of weighted directed paths and skew Schur functions, extending work by Bousquet-M\'elou, who expressed generating functions of discrete excursions in terms of rectangular Schur functions.
DOI:10.48550/arxiv.1907.09842