Skew Schur Function Representation of Directed Paths in a Slit
arXiv:1907.09842
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.
19 pages, 5 figures, accepted version (Journal of Combinatorics)