Skew Schur Function Representation of Directed Paths in a Slit
Combinatorics
2020-09-29 v2
Abstract
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.
Cite
@article{arxiv.1907.09842,
title = {Skew Schur Function Representation of Directed Paths in a Slit},
author = {Anum Khalid and Thomas Prellberg},
journal= {arXiv preprint arXiv:1907.09842},
year = {2020}
}
Comments
19 pages, 5 figures, accepted version (Journal of Combinatorics)