Skew Schur Function Representation of Directed Paths in a Slit

2019/07/23 by Anum Khalid, Khalid, Anum, Thomas Prellberg +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1907.09842

19 pages, 5 figures, accepted version (Journal of Combinatorics)

arxiv created 2020/09/27 · arxiv updated 2020/09/29

Abstract

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

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