73 citations · 326 across the 36 of their papers we have counts for
4 papers · 1 filter
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…
Smooth Hyperbolicity Cones are Spectrahedral Shadows
Tim Netzer, Raman Sanyal
Hyperbolicity cones are convex algebraic cones arising from hyperbolic polynomials. A well-understood subclass of hyperbolicity cones is that of spectrahedral cones and it is conje…
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…
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…