Article ID Journal Published Year Pages File Type
4647403 Discrete Mathematics 2014 7 Pages PDF
Abstract
This paper presents a new method to solve functional equations of multivariate generating functions, such as F(r,s)=e(r,s)+xf(r,s)F(1,1)+xg(r,s)F(qr,1)+xh(r,s)F(qr,qs), giving a formula for F(r,s) in terms of a sum over finite sequences. We use this method to show how one would calculate the coefficients of the generating function for parallelogram polyominoes, which is impractical using other methods. We also apply this method to answer a question from fully commutative affine permutations.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, , ,