6 citations · 14 across the 7 of their papers we have counts for
7 papers
Rook poset equivalence of Ferrers boards
Mike Develin
A natural construction due to K. Ding yields Schubert varieties from Ferrers boards. The poset structure of the Schubert cells in these varieties is equal to the poset of maximal r…
Fire containment in grids of dimension three and higher
Mike Develin, Stephen G. Hartke
We consider a deterministic discrete-time model of fire spread introduced by Hartnell [1995] and the problem of minimizing the number of burnt vertices when deploying a limited num…
On Stanley's reciprocity theorem for rational cones
Matthias Beck, Mike Develin
We give a short, self-contained proof of Stanley's reciprocity theorem for a rational cone K \subset R^d. Namely, let sigma_K (x) = sum_{m \in K \cap Z^d} x^m. Then sigma_K (x) and…
Dimensions of tight spans
Mike Develin
Given a finite metric, one can construct its tight span, a geometric object representing the metric. The dimension of a tight span encodes, among other things, the size of the spac…
Tropical secant varieties of linear spaces
Mike Develin
In this paper, we investigate tropical secant varieties of ordinary linear spaces. These correspond to the log-limit sets of ordinary toric varieties; we show that their interestin…
Coefficients and Roots of Ehrhart Polynomials
M. Beck, J. A. De Loera, M. Develin +2
The Ehrhart polynomial of a convex lattice polytope counts integer points in integral dilates of the polytope. We present new linear inequalities satisfied by the coefficients of E…