73 citations · 326 across the 36 of their papers we have counts for
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math.CO2012★ 2 cited
Laplacian ideals, arrangements, and resolutions
Anton Dochtermann, Raman Sanyal
The Laplacian matrix of a graph G describes the combinatorial dynamics of the Abelian Sandpile Model and the more general Riemann-Roch theory of G. The lattice ideal associated to…
math.CO2012
Arithmetic of marked order polytopes, monotone triangle reciprocity, and partial colorings
Katharina Jochemko, Raman Sanyal
For a poset P, a subposet A, and an order preserving map F from A into the real numbers, the marked order polytope parametrizes the order preserving extensions of F to P. We show t…
math.CO2012
Combinatorial Reciprocity Theorems
Matthias Beck
A common theme of enumerative combinatorics is formed by counting functions that are polynomials evaluated at positive integers. In this expository paper, we focus on four families…