Journal of Combinatorics
Volume 12 (2021)
Skew Schur function representation of directed paths in a slit
Pages: 571 – 588
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.
Schur functions, directed paths
2010 Mathematics Subject Classification
Primary 05Axx, 05Exx. Secondary 05A15, 05E05, 05E10.
Received 15 October 2019
Accepted 27 September 2020
Published 31 January 2022