3 papers
math.CO2026
Automatic Enumeration of Tilings by Polyominoes
Lucy Martinez
We revisit Zeilberger's computational framework for enumerating polyomino tilings and demonstrate its use in counting tilings of boards by -tetrominoes, allowing rot…
math.CO2022
Repetitions of Pak-Stanley Labels in -Shi Arrangements
Cara Bennett, Lucy Martinez, Ava Mock +2
Given a simple graph , one can define a hyperplane arrangement called the -Shi arrangement. The Pak-Stanley algorithm labels the regions of this arrangement with -…
math.CO2020
On Kostant's weight -multiplicity formula for
Rebecca E. Garcia, Pamela E. Harris, Marissa Loving +5
The -analog of Kostant's weight multiplicity formula is an alternating sum over a finite group, known as the Weyl group, whose terms involve the -analog of Kostant's partitio…