359 citations
- Massachusetts Institute of TechnologyUS18 papers
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- California Institute of TechnologyUS17 papers
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Showing 2011 · math.COShow all
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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…