64 citations · 418 across the 52 of their papers we have counts for
4 papers · 1 filter
Ehrhart Functions of Weighted Lattice Points
Jesus A. De Loera, Carlos E. Valencia, Rafael H. Villarreal +1
This paper studies three different ways to assign weights to the lattice points of a convex polytope and discusses the algebraic and combinatorial properties of the resulting weigh…
Integer Points in Arbitrary Convex Cones: The Case of the PSD and SOC Cones
Jesús A. De Loera, Brittney Marsters, Luze Xu +1
We investigate the semigroup of integer points inside a convex cone. We extend classical results in integer linear programming to integer conic programming. We show that the semigr…
Sums of Weighted Lattice Points of Polytopes
Jesús A. De Loera, Laura Escobar, Nathan Kaplan +1
We study the problem of counting lattice points of a polytope that are weighted by an Ehrhart quasi-polynomial of a family of parametric polytopes. As applications one can compute…
Irreducible Markov Chains on spaces of graphs with fixed degree-color sequences
Félix Almendra-Hernández, Jesús A. De Loera, Sonja Petrović
We study a colored generalization of the famous simple-switch Markov chain for sampling the set of graphs with a fixed degree sequence. Here we consider the space of graphs with co…