16 citations · 42 across the 12 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.CO2011★ 5 cited
Primer for the algebraic geometry of sandpiles
David Perkinson, Jacob Perlman, John Wilmes
The Abelian Sandpile Model (ASM) is a game played on a graph realizing the dynamics implicit in the discrete Laplacian matrix of the graph. The purpose of this primer is to apply t…
math.CO2011★ 13 cited
Orientations, semiorders, arrangements, and parking functions
Sam Hopkins, David Perkinson
It is known that the Pak-Stanley labeling of the Shi hyperplane arrangement provides a bijection between the regions of the arrangement and parking functions. For any graph G, we d…
math.CO2011★ 4 cited
Frobenius polytopes
John Collins, David Perkinson
A real representation of a finite group naturally determines a polytope, generalizing the well-known Birkhoff polytope. This paper determines the structure of the polytope correspo…